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113213023220 = 22511314532927
BaseRepresentation
bin110100101110000000…
…1011010001111110100
3101211020000021110122002
41221130001122033310
53323330013220340
6124002003554432
711115344551043
oct1513401321764
9354200243562
10113213023220
1144016889000
1219b3698ba18
13a8a307838b
14569dbdc55a
152e29219715
hex1a5c05a3f4

113213023220 has 96 divisors (see below), whose sum is σ = 261773600256. Its totient is φ = 41125983360.

The previous prime is 113213023219. The next prime is 113213023223. The reversal of 113213023220 is 22320312311.

It is a super-2 number, since 2×1132130232202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113213023192 and 113213023201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113213023223) 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, 38677397 + ... + 38680323.

It is an arithmetic number, because the mean of its divisors is an integer number (2726808336).

Almost surely, 2113213023220 is an apocalyptic number.

113213023220 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 113213023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130886800128).

113213023220 is an abundant number, since it is smaller than the sum of its proper divisors (148560577036).

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

113213023220 is a wasteful number, since it uses less digits than its factorization.

113213023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113213023220 its reverse (22320312311), we get a palindrome (135533335531).

The spelling of 113213023220 in words is "one hundred thirteen billion, two hundred thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 1453 2420 2662 2906 2927 5324 5812 5854 6655 7265 11708 13310 14530 14635 15983 26620 29060 29270 31966 32197 58540 63932 64394 79915 128788 159830 160985 175813 319660 321970 351626 354167 643940 703252 708334 879065 1416668 1758130 1770835 1933943 3516260 3541670 3867886 3895837 4252931 7083340 7735772 7791674 8505862 9669715 15583348 17011724 19339430 19479185 21264655 38678860 38958370 42529310 46782241 77916740 85058620 93564482 187128964 233911205 467822410 514604651 935644820 1029209302 2058418604 2573023255 5146046510 5660651161 10292093020 11321302322 22642604644 28303255805 56606511610 113213023220