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30130013232 = 243611234833
BaseRepresentation
bin11100000011111000…
…111000010000110000
32212202210221021000000
4130003320320100300
5443201240410412
621501434430000
72114435613114
oct340370702060
985683837000
1030130013232
1111861674990
125a0a592300
132ac22b68c7
14165b80d744
15bb525b4dc
hex703e38430

30130013232 has 140 divisors (see below), whose sum is σ = 95482565064. Its totient is φ = 9130268160.

The previous prime is 30130013227. The next prime is 30130013233. The reversal of 30130013232 is 23231003103.

30130013232 is a `hidden beast` number, since 301 + 300 + 1 + 32 + 32 = 666.

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 (30130013233) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10888 + ... + 245720.

Almost surely, 230130013232 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 30130013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47741282532).

30130013232 is an abundant number, since it is smaller than the sum of its proper divisors (65352551832).

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

30130013232 is a wasteful number, since it uses less digits than its factorization.

30130013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234870 (or 234849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30130013232 its reverse (23231003103), we get a palindrome (53361016335).

It can be divided in two parts, 301300132 and 32, that added together give a square (301300164 = 173582).

The spelling of 30130013232 in words is "thirty billion, one hundred thirty million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3564 3888 4752 5346 5832 7128 8019 10692 11664 14256 16038 21384 32076 42768 64152 128304 234833 469666 704499 939332 1408998 1878664 2113497 2583163 2817996 3757328 4226994 5166326 5635992 6340491 7749489 8453988 10332652 11271984 12680982 15498978 16907976 19021473 20665304 23248467 25361964 30997956 33815952 38042946 41330608 46496934 50723928 57064419 61995912 69745401 76085892 92993868 101447856 114128838 123991824 139490802 152171784 171193257 185987736 209236203 228257676 278981604 304343568 342386514 371975472 418472406 456515352 557963208 627708609 684773028 836944812 913030704 1115926416 1255417218 1369546056 1673889624 1883125827 2510834436 2739092112 3347779248 3766251654 5021668872 7532503308 10043337744 15065006616 30130013232