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10011220232 = 2313192972749
BaseRepresentation
bin10010101001011011…
…10001100100001000
3221211200212200101112
421110231301210020
5131000333021412
64333223105452
7503041652666
oct112455614410
927750780345
1010011220232
114278088a32
121b348a2288
13c37118570
146ad843c36
153d8d77722
hex254b71908

10011220232 has 96 divisors (see below), whose sum is σ = 21562695000. Its totient is φ = 4330672128.

The previous prime is 10011220231. The next prime is 10011220237. The reversal of 10011220232 is 23202211001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4559760676 + 5451459556 = 67526^2 + 73834^2 .

It is a super-2 number, since 2×100112202322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011220231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640394 + ... + 3643142.

Almost surely, 210011220232 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 10011220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781347500).

10011220232 is an abundant number, since it is smaller than the sum of its proper divisors (11551474768).

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

10011220232 is a wasteful number, since it uses less digits than its factorization.

10011220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2880 counting only the distinct ones).

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

Adding to 10011220232 its reverse (23202211001), we get a palindrome (33213431233).

The spelling of 10011220232 in words is "ten billion, eleven million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 97 104 152 194 247 361 388 494 722 776 988 1261 1444 1843 1976 2522 2749 2888 3686 4693 5044 5498 7372 9386 10088 10996 14744 18772 21992 23959 35017 35737 37544 47918 52231 70034 71474 95836 104462 140068 142948 191672 208924 266653 280136 285896 417848 455221 533306 679003 910442 992389 1066612 1358006 1820884 1984778 2133224 2716012 3466489 3641768 3969556 5066407 5432024 6932978 7939112 10132814 12901057 13865956 20265628 25802114 27731912 40531256 51604228 65863291 96261733 103208456 131726582 192523466 263453164 385046932 526906328 770093864 1251402529 2502805058 5005610116 10011220232