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100200100100022 = 232132914765708827
BaseRepresentation
bin10110110010000110100111…
…010111110111011110110110
3111010210000222020221211012100
4112302012213113313132312
5101113134301111200042
6553035142430202530
730051134614006116
oct2662064727673666
9433700866854170
10100200100100022
1129a21695327a6a
12b2a354a953446
1343baaa11122b0
141aa59d430d046
15b8b67b91824c
hex5b21a75f77b6

100200100100022 has 48 divisors (see below), whose sum is σ = 241862310602640. Its totient is φ = 29767668993216.

The previous prime is 100200100100017. The next prime is 100200100100029. The reversal of 100200100100022 is 220001001002001.

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 = 100200100099977 and 100200100100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200100100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7382847628 + ... + 7382861199.

It is an arithmetic number, because the mean of its divisors is an integer number (5038798137555).

Almost surely, 2100200100100022 is an apocalyptic number.

100200100100022 is an abundant number, since it is smaller than the sum of its proper divisors (141662210502618).

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

100200100100022 is a wasteful number, since it uses less digits than its factorization.

100200100100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765708877 (or 14765708874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200100100022 its reverse (220001001002001), we get a palindrome (320201101102023).

The spelling of 100200100100022 in words is "one hundred trillion, two hundred billion, one hundred million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 14765708827 29531417654 44297126481 88594252962 132891379443 191954214751 265782758886 383908429502 428205555983 575862644253 856411111966 1151725288506 1284616667949 1727587932759 2569233335898 3455175865518 3853850003847 5566672227779 7707700007694 11133344455558 16700016683337 33400033366674 50100050050011 100200100100022