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100111011200022 = 231737531013494077
BaseRepresentation
bin10110110000110011101001…
…010000101011110000010110
3111010110112000111110210022110
4112300303221100223300112
5101110204322331400042
6552530210314011450
730041532116601564
oct2660635120536026
9433415014423273
10100111011200022
1129997928a2a889
12b28a227116b86
1343b2573ca1b54
141aa158241aa34
15b891b555c09c
hex5b0ce942bc16

100111011200022 has 128 divisors (see below), whose sum is σ = 222057056617344. Its totient is φ = 29952294248448.

The previous prime is 100111011199999. The next prime is 100111011200023. The reversal of 100111011200022 is 220002110111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111011199980 and 100111011200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011200023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202375248 + ... + 202869324.

It is an arithmetic number, because the mean of its divisors is an integer number (1734820754823).

Almost surely, 2100111011200022 is an apocalyptic number.

100111011200022 is an abundant number, since it is smaller than the sum of its proper divisors (121946045417322).

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

100111011200022 is a wasteful number, since it uses less digits than its factorization.

100111011200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495202.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111011200022 its reverse (220002110111001), we get a palindrome (320113121311023).

The spelling of 100111011200022 in words is "one hundred trillion, one hundred eleven billion, eleven million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 17 34 37 51 53 74 102 106 111 159 222 318 629 901 1013 1258 1802 1887 1961 2026 2703 3039 3774 3922 5406 5883 6078 11766 17221 33337 34442 37481 51663 53689 66674 74962 100011 103326 107378 112443 161067 200022 224886 322134 494077 637177 912713 988154 1274354 1482231 1825426 1911531 1986493 2738139 2964462 3823062 3972986 5476278 5959479 8399309 11918958 16798618 18280849 25197927 26186081 33770381 36561698 50395854 52372162 54842547 67540762 78558243 101311143 109685094 157116486 202622286 310774433 445163377 500500001 621548866 890326754 932323299 968884997 1001000002 1335490131 1501500003 1864646598 1937769994 2670980262 2906654991 3003000006 5813309982 8508500017 16471044949 17017000034 18518500037 25525500051 26526500053 32942089898 37037000074 49413134847 51051000102 53053000106 55555500111 79579500159 98826269694 111111000222 159159000318 314814500629 450950500901 629629001258 901901001802 944443501887 981480501961 1352851502703 1888887003774 1962961003922 2705703005406 2944441505883 5888883011766 16685168533337 33370337066674 50055505600011 100111011200022