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10133103331212 = 22317971062748187
BaseRepresentation
bin1001001101110100110000…
…0001100100011110001100
31022212201022101122001120020
42103131030001210132030
52312010043423044322
633315030003222140
72064043514112441
oct223351401443614
938781271561506
1010133103331212
11325747472a894
121177a43977950
13586716c533c4
1427063281b9c8
151288ba45c05c
hex9374c06478c

10133103331212 has 96 divisors (see below), whose sum is σ = 25295720825088. Its totient is φ = 3145878134784.

The previous prime is 10133103331193. The next prime is 10133103331213. The reversal of 10133103331212 is 21213330133101.

It is not an unprimeable number, because it can be changed into a prime (10133103331213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210262983 + ... + 210311169.

It is an arithmetic number, because the mean of its divisors is an integer number (263497091928).

Almost surely, 210133103331212 is an apocalyptic number.

10133103331212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133103331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647860412544).

10133103331212 is an abundant number, since it is smaller than the sum of its proper divisors (15162617493876).

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

10133103331212 is a wasteful number, since it uses less digits than its factorization.

10133103331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58935 (or 58933 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10133103331212 its reverse (21213330133101), we get a palindrome (31346433464313).

The spelling of 10133103331212 in words is "ten trillion, one hundred thirty-three billion, one hundred three million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 194 204 291 388 582 1164 1649 3298 4947 6596 9894 10627 19788 21254 31881 42508 48187 63762 96374 127524 144561 180659 192748 289122 361318 541977 578244 722636 819179 1030819 1083954 1638358 2061638 2167908 2457537 3092457 3276716 4123276 4674139 4915074 6184914 9348278 9830148 12369828 14022417 17523923 18696556 28044834 35047846 52571769 56089668 70095692 79460363 105143538 158920726 210287076 238381089 317841452 476762178 512083249 953524356 1024166498 1536249747 2048332996 3072499494 6144998988 8705415233 17410830466 26116245699 34821660932 49672075153 52232491398 99344150306 104464982796 149016225459 198688300612 298032450918 596064901836 844425277601 1688850555202 2533275832803 3377701110404 5066551665606 10133103331212