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10000100111022 = 235715231930057
BaseRepresentation
bin1001000110000101010001…
…1010100011001010101110
31022102000000011121102100000
42101201110122203022232
52302320201112023042
633133552122445130
72051324542311210
oct221412432431256
938360004542300
1010000100111022
1132060228a09aa
1211561053637a6
1357700bb0a708
1426801654c5b0
151251d3b1a74c
hex918546a32ae

10000100111022 has 96 divisors (see below), whose sum is σ = 25696143712512. Its totient is φ = 2855293965504.

The previous prime is 10000100110997. The next prime is 10000100111033. The reversal of 10000100111022 is 22011100100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000100110995 and 10000100111013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4216218 + ... + 6146274.

It is an arithmetic number, because the mean of its divisors is an integer number (267668163672).

Almost surely, 210000100111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000100111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848071856256).

10000100111022 is an abundant number, since it is smaller than the sum of its proper divisors (15696043601490).

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

10000100111022 is a wasteful number, since it uses less digits than its factorization.

10000100111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931604 (or 1931592 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000100111022 its reverse (22011100100001), we get a palindrome (32011200211023).

The spelling of 10000100111022 in words is "ten trillion, one hundred million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1523 1701 3046 3402 4569 9138 10661 13707 21322 27414 31983 41121 63966 82242 95949 123363 191898 246726 287847 370089 575694 740178 863541 1727082 1930057 2590623 3860114 5181246 5790171 11580342 13510399 17370513 27020798 34741026 40531197 52111539 81062394 104223078 121593591 156334617 243187182 312669234 364780773 469003851 729561546 938007702 1094342319 2188684638 2939476811 3283026957 5878953622 6566053914 8818430433 17636860866 20576337677 26455291299 41152675354 52910582598 61729013031 79365873897 123458026062 158731747794 185187039093 238097621691 370374078186 476195243382 555561117279 714292865073 1111122234558 1428585730146 1666683351837 3333366703674 5000050055511 10000100111022