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113220222330 = 235195312912903
BaseRepresentation
bin110100101110001110…
…0110111110101111010
3101211020111211012221210
41221130130313311322
53323333334103310
6124002422143550
711115463003515
oct1513434676572
9354214735853
10113220222330
114401a955886
1219b39281bb6
13a8a46c90c7
1456a0b53d7c
152e29b8c820
hex1a5c737d7a

113220222330 has 128 divisors (see below), whose sum is σ = 291753031680. Its totient is φ = 28031927040.

The previous prime is 113220222307. The next prime is 113220222337. The reversal of 113220222330 is 33222022311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113220222297 and 113220222306.

It is not an unprimeable number, because it can be changed into a prime (113220222337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38999659 + ... + 39002561.

It is an arithmetic number, because the mean of its divisors is an integer number (2279320560).

Almost surely, 2113220222330 is an apocalyptic number.

113220222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113220222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145876515840).

113220222330 is an abundant number, since it is smaller than the sum of its proper divisors (178532809350).

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

113220222330 is a wasteful number, since it uses less digits than its factorization.

113220222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 113220222330 its reverse (33222022311), we get a palindrome (146442244641).

The spelling of 113220222330 in words is "one hundred thirteen billion, two hundred twenty million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 795 1007 1291 1590 2014 2582 2903 3021 3873 5035 5806 6042 6455 7746 8709 10070 12910 14515 15105 17418 19365 24529 29030 30210 38730 43545 49058 55157 68423 73587 87090 110314 122645 136846 147174 153859 165471 205269 245290 275785 307718 330942 342115 367935 410538 461577 551570 684230 735870 769295 827355 923154 1026345 1300037 1538590 1654710 2052690 2307885 2600074 2923321 3747773 3900111 4615770 5846642 6500185 7495546 7800222 8769963 11243319 13000370 14616605 17539926 18738865 19500555 22486638 29233210 37477730 39001110 43849815 56216595 71207687 87699630 112433190 142415374 198631969 213623061 356038435 397263938 427246122 595895907 712076870 993159845 1068115305 1191791814 1986319690 2136230610 2979479535 3774007411 5958959070 7548014822 11322022233 18870037055 22644044466 37740074110 56610111165 113220222330