Search a number
-
+
101212211012022 = 232113496221235441
BaseRepresentation
bin10111000000110101001101…
…111000100110000110110110
3111021100210102000012022200200
4113000311031320212012312
5101231230102004341042
6555132125311421330
730214224640552365
oct2700651570460666
9437323360168620
10101212211012022
112a281948579340
12b427730824846
134462369506b46
141adc9a8da57dc
15ba7b6650cc4c
hex5c0d4de261b6

101212211012022 has 96 divisors (see below), whose sum is σ = 239953916311200. Its totient is φ = 30577440384000.

The previous prime is 101212211011993. The next prime is 101212211012039. The reversal of 101212211012022 is 220210112212101.

101212211012022 is a `hidden beast` number, since 101 + 212 + 211 + 0 + 120 + 22 = 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 = 101212211011986 and 101212211012004.

It is a congruent number.

It is an unprimeable number.

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, 429765822 + ... + 430001262.

It is an arithmetic number, because the mean of its divisors is an integer number (2499519961575).

Almost surely, 2101212211012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212211012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119976958155600).

101212211012022 is an abundant number, since it is smaller than the sum of its proper divisors (138741705299178).

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

101212211012022 is a wasteful number, since it uses less digits than its factorization.

101212211012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242030 (or 242027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212211012022 its reverse (220210112212101), we get a palindrome (321422323224123).

The spelling of 101212211012022 in words is "one hundred one trillion, two hundred twelve billion, two hundred eleven million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 349 698 1047 2094 3141 3839 6221 6282 7678 11517 12442 18663 23034 34551 37326 55989 68431 69102 111978 136862 205293 235441 410586 470882 615879 706323 1231758 1412646 2118969 2171129 2589851 4237938 4342258 5179702 6513387 7769553 13026774 15539106 19540161 23308659 23882419 39080322 46617318 47764838 71647257 82168909 143294514 164337818 214941771 246506727 429883542 493013454 739520181 903857999 1464678461 1479040362 1807715998 2711573997 2929356922 4394035383 5423147994 8134721991 8788070766 13182106149 16111463071 16269443982 26364212298 32222926142 48334389213 96668778426 145003167639 290006335278 511172782889 1022345565778 1533518348667 3067036697334 4600555046001 5622900611779 9201110092002 11245801223558 16868701835337 33737403670674 50606105506011 101212211012022