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100230211220 = 225293110135503
BaseRepresentation
bin101110101011000101…
…1111010011010010100
3100120201012211021200012
41131112023322122110
53120232413224340
6114013425135352
710145540511146
oct1352613723224
9316635737605
10100230211220
1139564383207
1217512a8a558
1395b4413bb9
144bcb868c96
152919560565
hex17562fa694

100230211220 has 96 divisors (see below), whose sum is σ = 225028177920. Its totient is φ = 37417121280.

The previous prime is 100230211217. The next prime is 100230211253. The reversal of 100230211220 is 22112032001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100230211195 and 100230211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18210989 + ... + 18216491.

It is an arithmetic number, because the mean of its divisors is an integer number (2344043520).

Almost surely, 2100230211220 is an apocalyptic number.

100230211220 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 100230211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112514088960).

100230211220 is an abundant number, since it is smaller than the sum of its proper divisors (124797966700).

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

100230211220 is a wasteful number, since it uses less digits than its factorization.

100230211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100230211220 its reverse (22112032001), we get a palindrome (122342243221).

The spelling of 100230211220 in words is "one hundred billion, two hundred thirty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1013 1798 2026 3596 4052 4495 5065 5503 8990 10130 11006 17980 20260 22012 27515 29377 31403 55030 58754 62806 110060 117508 125612 146885 157015 159587 170593 293770 314030 319174 341186 587540 628060 638348 682372 797935 852965 910687 1595870 1705930 1821374 3191740 3411860 3642748 4553435 4947197 5574539 9106870 9894394 11149078 18213740 19788788 22298156 24735985 27872695 49471970 55745390 98943940 111490780 161661631 172810709 323323262 345621418 646646524 691242836 808308155 864053545 1616616310 1728107090 3233232620 3456214180 5011510561 10023021122 20046042244 25057552805 50115105610 100230211220