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102100001122200 = 23352612789617517
BaseRepresentation
bin10111001101110000000010…
…010011000110011110011000
3111101111122221121220201212110
4113031300002103012132120
5101340301300241402300
61001052032030512320
730335324131151454
oct2715600223063630
9441448847821773
10102100001122200
112a59440498a1a4
12b54b7b79656a0
1344c7cb14c0773
141b2d948935664
15bc0cc6b59550
hex5cdc024c6798

102100001122200 has 96 divisors (see below), whose sum is σ = 321698692175760. Its totient is φ = 26780328153600.

The previous prime is 102100001122181. The next prime is 102100001122211. The reversal of 102100001122200 is 2221100001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1394772159 + ... + 1394845358.

Almost surely, 2102100001122200 is an apocalyptic number.

102100001122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100001122200 is an abundant number, since it is smaller than the sum of its proper divisors (219598691053560).

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

102100001122200 is a wasteful number, since it uses less digits than its factorization.

102100001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789617597 (or 2789617588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100001122200 its reverse (2221100001201), we get a palindrome (104321101123401).

It can be divided in two parts, 102100001 and 122200, that added together give a palindrome (102222201).

The spelling of 102100001122200 in words is "one hundred two trillion, one hundred billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 2789617517 5579235034 8368852551 11158470068 13948087585 16737705102 22316940136 27896175170 33475410204 41844262755 55792350340 66950820408 69740437925 83688525510 111584700680 139480875850 167377051020 170166668537 209221313775 278961751700 334754102040 340333337074 418442627550 510500005611 557923503400 680666674148 836885255100 850833342685 1021000011222 1361333348296 1673770510200 1701666685370 2042000022444 2552500028055 3403333370740 4084000044888 4254166713425 5105000056110 6806666741480 8508333426850 10210000112220 12762500140275 17016666853700 20420000224440 25525000280550 34033333707400 51050000561100 102100001122200