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100210011220 = 225111975234421
BaseRepresentation
bin101110101010011111…
…0110110110001010100
3100120122210211000111001
41131110332312301110
53120212230324340
6114011424153044
710145204020054
oct1352476666124
9316583730431
10100210011220
1139553a366a0
1217508168784
1395b0190737
144bc8ccb564
1529178c029a
hex1754fb6c54

100210011220 has 96 divisors (see below), whose sum is σ = 231230837376. Its totient is φ = 36177523200.

The previous prime is 100210011179. The next prime is 100210011221. The reversal of 100210011220 is 22110012001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100210011197 and 100210011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210011221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22664610 + ... + 22669030.

It is an arithmetic number, because the mean of its divisors is an integer number (2408654556).

Almost surely, 2100210011220 is an apocalyptic number.

100210011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115615418688).

100210011220 is an abundant number, since it is smaller than the sum of its proper divisors (131020826156).

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

100210011220 is a wasteful number, since it uses less digits than its factorization.

100210011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210011220 its reverse (22110012001), we get a palindrome (122320023221).

The spelling of 100210011220 in words is "one hundred billion, two hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 523 788 985 1046 1970 2092 2167 2615 3940 4334 4421 5230 5753 8668 8842 10460 10835 11506 17684 21670 22105 23012 28765 43340 44210 48631 57530 88420 97262 103031 115060 194524 206062 243155 412124 486310 515155 870937 972620 1030310 1133341 1741874 2060620 2266682 2312183 3483748 4354685 4533364 4624366 5666705 8709370 9248732 9580307 11333410 11560915 17418740 19160614 22666820 23121830 25434013 38321228 46243660 47901535 50868026 95803070 101736052 127170065 191606140 254340130 455500051 508680260 911000102 1822000204 2277500255 4555000510 5010500561 9110001020 10021001122 20042002244 25052502805 50105005610 100210011220