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100021002100 = 22521317635191
BaseRepresentation
bin101110100100110110…
…1110101111101110100
3100120011122011100201021
41131021231311331310
53114320334031400
6113540553110524
710140420330055
oct1351155657564
9316148140637
10100021002100
1139467280308
12174749b8444
13957cc84016
144babb6a72c
152905ed771a
hex1749b75f74

100021002100 has 36 divisors (see below), whose sum is σ = 218702439648. Its totient is φ = 39702988000.

The previous prime is 100021002097. The next prime is 100021002113. The reversal of 100021002100 is 1200120001.

It is a super-2 number, since 2×1000210021002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3804496 + ... + 3830695.

It is an arithmetic number, because the mean of its divisors is an integer number (6075067768).

Almost surely, 2100021002100 is an apocalyptic number.

100021002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021002100 is an abundant number, since it is smaller than the sum of its proper divisors (118681437548).

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

100021002100 is a wasteful number, since it uses less digits than its factorization.

100021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635336 (or 7635329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100021002100 its reverse (1200120001), we get a palindrome (101221122101).

The spelling of 100021002100 in words is "one hundred billion, twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 2620 3275 6550 13100 7635191 15270382 30540764 38175955 76351910 152703820 190879775 381759550 763519100 1000210021 2000420042 4000840084 5001050105 10002100210 20004200420 25005250525 50010501050 100021002100