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103101120211122 = 232117191476749043
BaseRepresentation
bin10111011100010100011001…
…101001010110100010110010
3111112001101000100002202202100
4113130110121221112202302
5102003202043233223442
61003140000055201230
730500544605046435
oct2734243151264262
9445041010082670
10103101120211122
112a93aa37578170
12b691830676216
13456b5175917a7
141b6619984981c
15bdbd6b77784c
hex5dc519a568b2

103101120211122 has 96 divisors (see below), whose sum is σ = 244053992632320. Its totient is φ = 31196561729760.

The previous prime is 103101120211121. The next prime is 103101120211163. The reversal of 103101120211122 is 221112021101301.

It is a happy number.

103101120211122 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 1 + 20 + 211 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103101120211095 and 103101120211104.

It is not an unprimeable number, because it can be changed into a prime (103101120211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102235133 + ... + 2102284175.

It is an arithmetic number, because the mean of its divisors is an integer number (2542229089920).

Almost surely, 2103101120211122 is an apocalyptic number.

103101120211122 is an abundant number, since it is smaller than the sum of its proper divisors (140952872421198).

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

103101120211122 is a wasteful number, since it uses less digits than its factorization.

103101120211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64548 (or 64545 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 103101120211122 its reverse (221112021101301), we get a palindrome (324213141312423).

The spelling of 103101120211122 in words is "one hundred three trillion, one hundred one billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 719 1438 2157 4314 6471 7909 12942 14767 15818 23727 29534 44301 47454 49043 71181 88602 98086 132903 142362 147129 162437 265806 294258 324874 441387 487311 539473 882774 974622 1078946 1461933 1618419 2923866 3236838 4855257 9710514 10617473 21234946 31852419 35261917 63704838 70523834 95557257 105785751 116792203 191114514 211571502 233584406 317357253 350376609 387881087 634714506 700753218 724217981 775762174 1051129827 1163643261 1448435962 2102259654 2172653943 2327286522 3490929783 4345307886 6517961829 6981859566 7966397791 13035923658 15932795582 23899193373 47798386746 71697580119 143395160238 520712728339 1041425456678 1562138185017 3124276370034 4686414555051 5727840011729 9372829110102 11455680023458 17183520035187 34367040070374 51550560105561 103101120211122