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10121155224 = 23317105123603
BaseRepresentation
bin10010110110100010…
…01001001010011000
3222010100201221211220
421123101021022120
5131212003431344
64352151252040
7505545254115
oct113321111230
928110657756
1010121155224
1143241457a4
121b6567a020
13c53b2a15b
146c029d90c
153e3840c19
hex25b449298

10121155224 has 64 divisors (see below), whose sum is σ = 26817920640. Its totient is φ = 3172108800.

The previous prime is 10121155223. The next prime is 10121155259. The reversal of 10121155224 is 42255112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10121155194 and 10121155203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121155223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417007 + ... + 440609.

It is an arithmetic number, because the mean of its divisors is an integer number (419030010).

Almost surely, 210121155224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121155224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408960320).

10121155224 is an abundant number, since it is smaller than the sum of its proper divisors (16696765416).

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

10121155224 is a wasteful number, since it uses less digits than its factorization.

10121155224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24680 (or 24676 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10121155224 its reverse (42255112101), we get a palindrome (52376267325).

The spelling of 10121155224 in words is "ten billion, one hundred twenty-one million, one hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1051 2102 3153 4204 6306 8408 12612 17867 23603 25224 35734 47206 53601 70809 71468 94412 107202 141618 142936 188824 214404 283236 401251 428808 566472 802502 1203753 1605004 2407506 3210008 4815012 9630024 24806753 49613506 74420259 99227012 148840518 198454024 297681036 421714801 595362072 843429602 1265144403 1686859204 2530288806 3373718408 5060577612 10121155224