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101020031303022 = 23213613811868381
BaseRepresentation
bin10110111110000010001111…
…000101001011110101101110
3111020200102100200011120200200
4112332002033011023311232
5101220103011003144042
6554503543421334330
730164312356151526
oct2676021705136556
9436612320146620
10101020031303022
112a20839a0a1557
12b3b64381073a6
13444a1c04294c0
141ad357776c686
15ba2b698d6c4c
hex5be08f14bd6e

101020031303022 has 96 divisors (see below), whose sum is σ = 236389322428896. Its totient is φ = 30994080019200.

The previous prime is 101020031302979. The next prime is 101020031303101. The reversal of 101020031303022 is 220303130020101.

101020031303022 is a `hidden beast` number, since 101 + 0 + 200 + 31 + 30 + 302 + 2 = 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 = 101020031302986 and 101020031303004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115897272 + ... + 116765652.

It is an arithmetic number, because the mean of its divisors is an integer number (2462388775301).

Almost surely, 2101020031303022 is an apocalyptic number.

101020031303022 is an abundant number, since it is smaller than the sum of its proper divisors (135369291125874).

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

101020031303022 is a wasteful number, since it uses less digits than its factorization.

101020031303022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869826 (or 869823 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101020031303022 its reverse (220303130020101), we get a palindrome (321323161323123).

The spelling of 101020031303022 in words is "one hundred one trillion, twenty billion, thirty-one million, three hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 613 811 1226 1622 1839 2433 3678 4866 5517 7299 7969 10543 11034 14598 15938 21086 23907 31629 47814 63258 71721 94887 143442 189774 497143 868381 994286 1491429 1736762 2605143 2982858 4474287 5210286 6462859 7815429 8948574 11288953 12925718 15630858 19388577 22577906 33866859 38777154 58165731 67733718 101600577 116331462 203201154 532317553 704256991 1064635106 1408513982 1596952659 2112770973 3193905318 4225541946 4790857977 6338312919 6920128189 9155340883 9581715954 12676625838 13840256378 18310681766 20760384567 27466022649 41520769134 54932045298 62281153701 82398067947 124562307402 164796135894 431709535483 863419070966 1295128606449 2590257212898 3885385819347 5612223961279 7770771638694 11224447922558 16836671883837 33673343767674 50510015651511 101020031303022