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100022020202120 = 2354877512723089
BaseRepresentation
bin10110101111100000110000…
…111110111101111010001000
3111010011000022120012200212012
4112233200300332331322020
5101102230044132431440
6552421252020035052
730032231621601242
oct2657406076757210
9433130276180765
10100022020202120
1129963111920a25
12b274b30232a88
1343a706121c343
141a9b13d531092
15b86c07a8de65
hex5af830fbde88

100022020202120 has 32 divisors (see below), whose sum is σ = 225095690971800. Its totient is φ = 40000604433408.

The previous prime is 100022020202101. The next prime is 100022020202131. The reversal of 100022020202120 is 21202020220001.

It can be written as a sum of positive squares in 4 ways, for example, as 39685136548996 + 60336883653124 = 6299614^2 + 7767682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100022020202095 and 100022020202104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256166465 + ... + 256556624.

Almost surely, 2100022020202120 is an apocalyptic number.

100022020202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022020202120 is an abundant number, since it is smaller than the sum of its proper divisors (125073670769680).

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

100022020202120 is a wasteful number, since it uses less digits than its factorization.

100022020202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512727977 (or 512727973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100022020202120 its reverse (21202020220001), we get a palindrome (121224040422121).

The spelling of 100022020202120 in words is "one hundred trillion, twenty-two billion, twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4877 9754 19508 24385 39016 48770 97540 195080 512723089 1025446178 2050892356 2563615445 4101784712 5127230890 10254461780 20508923560 2500550505053 5001101010106 10002202020212 12502752525265 20004404040424 25005505050530 50011010101060 100022020202120