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100020211000100 = 22524012494269601
BaseRepresentation
bin10110101111011111000101…
…001001011010001100100100
3111010010211122110212201020222
4112233133011021122030210
5101102212343004000400
6552420352310343512
730032136032616626
oct2657370511321444
9433124573781228
10100020211000100
1129962373651746
12b27470635ab98
1343a6b334599c1
141a9b00b140c16
15b86b4dd19185
hex5af7c525a324

100020211000100 has 36 divisors (see below), whose sum is σ = 217585114460868. Its totient is φ = 39908313600000.

The previous prime is 100020211000091. The next prime is 100020211000141. The reversal of 100020211000100 is 1000112020001.

It can be written as a sum of positive squares in 6 ways, for example, as 325417766116 + 99694793233984 = 570454^2 + 9984728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247094701 + ... + 1247174900.

Almost surely, 2100020211000100 is an apocalyptic number.

100020211000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020211000100 is an abundant number, since it is smaller than the sum of its proper divisors (117564903460768).

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

100020211000100 is a wasteful number, since it uses less digits than its factorization.

100020211000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494270016 (or 2494270009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100020211000100 its reverse (1000112020001), we get a palindrome (101020323020101).

The spelling of 100020211000100 in words is "one hundred trillion, twenty billion, two hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1604 2005 4010 8020 10025 20050 40100 2494269601 4988539202 9977078404 12471348005 24942696010 49885392020 62356740025 124713480050 249426960100 1000202110001 2000404220002 4000808440004 5001010550005 10002021100010 20004042200020 25005052750025 50010105500050 100020211000100