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101022241124 = 227172914335107
BaseRepresentation
bin101111000010101100…
…1010001000101100100
3100122202102011120110002
41132011121101011210
53123343143203444
6114224201120432
710204265611220
oct1360531210544
9318672146402
10101022241124
113993046aa82
12176b4189118
1396ac53614c
144c64b1b780
152963d60d4e
hex1785651164

101022241124 has 96 divisors (see below), whose sum is σ = 221504129280. Its totient is φ = 39308193792.

The previous prime is 101022241069. The next prime is 101022241127. The reversal of 101022241124 is 421142220101.

101022241124 = T23611 + T23612 + ... + T23967.

It is a junction number, because it is equal to n+sod(n) for n = 101022241096 and 101022241105.

It is not an unprimeable number, because it can be changed into a prime (101022241127) 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, 19778579 + ... + 19783685.

It is an arithmetic number, because the mean of its divisors is an integer number (2307334680).

Almost surely, 2101022241124 is an apocalyptic number.

101022241124 is a gapful number since it is divisible by the number (14) 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 101022241124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110752064640).

101022241124 is an abundant number, since it is smaller than the sum of its proper divisors (120481888156).

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

101022241124 is a wasteful number, since it uses less digits than its factorization.

101022241124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101022241124 its reverse (421142220101), we get a palindrome (522164461225).

The spelling of 101022241124 in words is "one hundred one billion, twenty-two million, two hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 986 1433 1972 2866 3451 5107 5732 6902 10031 10214 13804 20062 20428 24361 35749 40124 41557 48722 71498 83114 86819 97444 142996 148103 166228 170527 173638 290899 296206 341054 347276 581798 592412 607733 682108 706469 1036721 1163596 1215466 1412938 2073442 2430932 2517751 2825876 4146884 4945283 5035502 7318331 9890566 10071004 14636662 17624257 19781132 29273324 35248514 51228317 70497028 102456634 124411627 204913268 212231599 248823254 424463198 497646508 848926396 870881389 1485621193 1741762778 2971242386 3483525556 3607937183 5942484772 7215874366 14431748732 25255560281 50511120562 101022241124