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100022000102010 = 23257158765079527
BaseRepresentation
bin10110101111100000101111…
…110010010010101001111010
3111010011000021011101111200200
4112233200233302102221322
5101102230024011231020
6552421250021143030
730032231256004320
oct2657405762225172
9433130234344620
10100022000102010
1129963101542468
12b274b2555aa76
1343a705a00249c
141a9b13a9bbd10
15b86c05e1d590
hex5af82fc92a7a

100022000102010 has 48 divisors (see below), whose sum is σ = 297208228876416. Its totient is φ = 22862171451744.

The previous prime is 100022000101997. The next prime is 100022000102021. The reversal of 100022000102010 is 10201000220001.

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 = 100022000101983 and 100022000102001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79382539134 + ... + 79382540393.

It is an arithmetic number, because the mean of its divisors is an integer number (6191838101592).

Almost surely, 2100022000102010 is an apocalyptic number.

100022000102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022000102010 is an abundant number, since it is smaller than the sum of its proper divisors (197186228774406).

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

100022000102010 is a wasteful number, since it uses less digits than its factorization.

100022000102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158765079547 (or 158765079544 counting only the distinct ones).

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

Adding to 100022000102010 its reverse (10201000220001), we get a palindrome (110223000322011).

The spelling of 100022000102010 in words is "one hundred trillion, twenty-two billion, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 158765079527 317530159054 476295238581 793825397635 952590477162 1111355556689 1428885715743 1587650795270 2222711113378 2381476192905 2857771431486 3334066670067 4762952385810 5556777783445 6668133340134 7144428578715 10002200010201 11113555566890 14288857157430 16670333350335 20004400020402 33340666700670 50011000051005 100022000102010