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103022133211212 = 22361261765298237
BaseRepresentation
bin10111011011001010110101…
…101001110111000001001100
3111111202211010121010102122020
4113123022311221313001030
5102000403312100224322
61003035414205450140
730462050333452035
oct2733126551670114
9444684117112566
10103022133211212
112a90a494464046
12b67a467b70950
134563c3a299117
141b62425443a8c
15bd9c971a705c
hex5db2b5a7704c

103022133211212 has 96 divisors (see below), whose sum is σ = 244486189590720. Its totient is φ = 33755571486720.

The previous prime is 103022133211201. The next prime is 103022133211213. The reversal of 103022133211212 is 212112331220301.

It is a super-3 number, since 3×1030221332112123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103022133211213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12507235558 + ... + 12507243794.

It is an arithmetic number, because the mean of its divisors is an integer number (2546731141570).

Almost surely, 2103022133211212 is an apocalyptic number.

103022133211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103022133211212 is an abundant number, since it is smaller than the sum of its proper divisors (141464056379508).

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

103022133211212 is a wasteful number, since it uses less digits than its factorization.

103022133211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103022133211212 its reverse (212112331220301), we get a palindrome (315134464431513).

The spelling of 103022133211212 in words is "one hundred three trillion, twenty-two billion, one hundred thirty-three million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 2617 5234 6529 7851 8237 10468 13058 15702 16474 19587 24711 26116 31404 32948 39174 49422 78348 98844 159637 319274 398269 478911 502457 638548 796538 957822 1004914 1194807 1507371 1593076 1915644 2009828 2389614 3014742 4779228 6029484 17086393 21556229 34172786 43112458 51259179 53779373 64668687 68345572 86224916 102518358 107558746 129337374 161338119 205036716 215117492 258674748 322676238 645352476 1042269973 1314929969 2084539946 2629859938 3126809919 3280541753 3944789907 4169079892 5259719876 6253619838 6561083506 7889579814 9841625259 12507239676 13122167012 15779159628 19683250518 39366501036 140740619141 281481238282 422221857423 562962476564 844443714846 1688887429692 8585177767601 17170355535202 25755533302803 34340711070404 51511066605606 103022133211212