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230103202212 = 2232137111361283
BaseRepresentation
bin1101011001001100111…
…0000011100110100100
3210222221021202210200200
43112103032003212210
512232222404432322
6253412530110500
722424112642642
oct3262316034644
9728837683620
10230103202212
118964a293614
123871911b430
1318910ba9470
14b1cc112192
155ebb1868ac
hex35933839a4

230103202212 has 144 divisors (see below), whose sum is σ = 640846297728. Its totient is φ = 69184926720.

The previous prime is 230103202201. The next prime is 230103202243. The reversal of 230103202212 is 212202301032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724123 + ... + 3785405.

It is an arithmetic number, because the mean of its divisors is an integer number (4450321512).

Almost surely, 2230103202212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230103202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320423148864).

230103202212 is an abundant number, since it is smaller than the sum of its proper divisors (410743095516).

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

230103202212 is a wasteful number, since it uses less digits than its factorization.

230103202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61490 (or 61485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230103202212 its reverse (212202301032), we get a palindrome (442305503244).

The spelling of 230103202212 in words is "two hundred thirty billion, one hundred three million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 113 117 142 156 213 226 234 284 339 426 452 468 639 678 852 923 1017 1278 1356 1469 1846 2034 2556 2769 2938 3692 4068 4407 5538 5876 8023 8307 8814 11076 13221 16046 16614 17628 24069 26442 32092 33228 48138 52884 61283 72207 96276 104299 122566 144414 183849 208598 245132 288828 312897 367698 417196 551547 625794 735396 796679 938691 1103094 1251588 1593358 1877382 2206188 2390037 3186716 3754764 4351093 4780074 6924979 7170111 8702186 9560148 13053279 13849958 14340222 17404372 20774937 26106558 27699916 28680444 39159837 41549874 52213116 56564209 62324811 78319674 83099748 90024727 113128418 124649622 156639348 169692627 180049454 226256836 249299244 270074181 339385254 360098908 491673509 509077881 540148362 678770508 810222543 983347018 1018155762 1080296724 1475020527 1620445086 1966694036 2036311524 2950041054 3240890172 4425061581 5900082108 6391755617 8850123162 12783511234 17700246324 19175266851 25567022468 38350533702 57525800553 76701067404 115051601106 230103202212