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11213021320 = 2355319512711
BaseRepresentation
bin10100111000101100…
…10010000010001000
31001221110021111112221
422130112102002020
5140431013140240
65052353543424
7544604052154
oct123426220210
931843244487
1011213021320
114834504976
12220b274b74
1310990c0777
147852c2064
1545961ba4a
hex29c592088

11213021320 has 64 divisors (see below), whose sum is σ = 25727984640. Its totient is φ = 4396704000.

The previous prime is 11213021311. The next prime is 11213021353. The reversal of 11213021320 is 2312031211.

It is a super-3 number, since 3×112130213203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11213021294 and 11213021303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4134765 + ... + 4137475.

It is an arithmetic number, because the mean of its divisors is an integer number (401999760).

Almost surely, 211213021320 is an apocalyptic number.

11213021320 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 11213021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863992320).

11213021320 is an abundant number, since it is smaller than the sum of its proper divisors (14514963320).

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

11213021320 is a wasteful number, since it uses less digits than its factorization.

11213021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11213021320 its reverse (2312031211), we get a palindrome (13525052531).

The spelling of 11213021320 in words is "eleven billion, two hundred thirteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1951 2120 2711 3902 5422 7804 9755 10844 13555 15608 19510 21688 27110 39020 54220 78040 103403 108440 143683 206806 287366 413612 517015 574732 718415 827224 1034030 1149464 1436830 2068060 2873660 4136120 5289161 5747320 10578322 21156644 26445805 42313288 52891610 105783220 211566440 280325533 560651066 1121302132 1401627665 2242604264 2803255330 5606510660 11213021320