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230103232002 = 23473593891453
BaseRepresentation
bin1101011001001100111…
…0001010111000000010
3210222221021211022120000
43112103032022320002
512232222411411002
6253412530500430
722424113125540
oct3262316127002
9728837738500
10230103232002
118964a303a36
1238719134716
1318910bb9ba7
14b1cc11cd90
155ebb19061c
hex359338ae02

230103232002 has 160 divisors (see below), whose sum is σ = 592827206400. Its totient is φ = 65347108992.

The previous prime is 230103232001. The next prime is 230103232033. The reversal of 230103232002 is 200232301032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230103232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158363508 + ... + 158364960.

It is an arithmetic number, because the mean of its divisors is an integer number (3705170040).

Almost surely, 2230103232002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230103232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296413603200).

230103232002 is an abundant number, since it is smaller than the sum of its proper divisors (362723974398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230103232002 is a wasteful number, since it uses less digits than its factorization.

230103232002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230103232002 its reverse (200232301032), we get a palindrome (430335533034).

The spelling of 230103232002 in words is "two hundred thirty billion, one hundred three million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 359 378 389 567 718 778 1077 1134 1167 1453 2154 2334 2513 2723 2906 3231 3501 4359 5026 5446 6462 7002 7539 8169 8718 9693 10171 10503 13077 15078 16338 19386 20342 21006 22617 24507 26154 29079 30513 31509 39231 45234 49014 58158 61026 63018 67851 73521 78462 91539 117693 135702 139651 147042 183078 203553 220563 235386 274617 279302 407106 418953 441126 521627 549234 565217 823851 837906 977557 1043254 1130434 1256859 1564881 1647702 1695651 1955114 2513718 2932671 3129762 3391302 3651389 3770577 3956519 4694643 5086953 5865342 7302778 7541154 7913038 8798013 9389286 10173906 10954167 11311731 11869557 14083929 15260859 17596026 21908334 22623462 23739114 26394039 28167858 30521718 32862501 35608671 42251787 45782577 52788078 65725002 71217342 79182117 84503574 91565154 98587503 106826013 158364234 197175006 202912903 213652026 295762509 320478039 405825806 591525018 608738709 640956078 1217477418 1420390321 1826216127 2840780642 3652432254 4261170963 5478648381 8522341926 10957296762 12783512889 16435945143 25567025778 32871890286 38350538667 76701077334 115051616001 230103232002