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113312022219 = 321129374126017
BaseRepresentation
bin110100110000111101…
…1000011111011001011
3101211110220120010201200
41221201323003323023
53324030334202334
6124015501515243
711120656203624
oct1514173037313
9354426503650
10113312022219
1144067756460
1219b63b72b23
13a8ba72b376
1456ad00ca4b
152e32c72799
hex1a61ec3ecb

113312022219 has 96 divisors (see below), whose sum is σ = 194335727040. Its totient is φ = 62937907200.

The previous prime is 113312022211. The next prime is 113312022281. The reversal of 113312022219 is 912220213311.

113312022219 is a `hidden beast` number, since 113 + 312 + 0 + 22 + 219 = 666.

It is not a de Polignac number, because 113312022219 - 23 = 113312022211 is a prime.

It is a super-2 number, since 2×1133120222192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113312022192 and 113312022201.

It is not an unprimeable number, because it can be changed into a prime (113312022211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4342299 + ... + 4368315.

It is an arithmetic number, because the mean of its divisors is an integer number (2024330490).

Almost surely, 2113312022219 is an apocalyptic number.

113312022219 is a deficient number, since it is larger than the sum of its proper divisors (81023704821).

113312022219 is a wasteful number, since it uses less digits than its factorization.

113312022219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26141 (or 26138 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 113312022219 in words is "one hundred thirteen billion, three hundred twelve million, twenty-two thousand, two hundred nineteen".

Divisors: 1 3 9 11 29 33 37 41 87 99 111 123 261 319 333 369 407 451 957 1073 1189 1221 1353 1517 2871 3219 3567 3663 4059 4551 9657 10701 11803 13079 13653 16687 26017 35409 39237 43993 50061 78051 106227 117711 131979 150183 234153 286187 395937 483923 754493 858561 962629 1066697 1451769 2263479 2575683 2887887 3200091 4355307 6790437 8299423 8663661 9600273 10588919 11733667 24898269 27916241 30934213 31766757 35201001 39467789 74694807 83748723 92802639 95300271 105603003 118403367 251246169 278407917 307078651 340276343 355210101 434145679 921235953 1020829029 1144565881 1302437037 2763707859 3062487087 3433697643 3907311111 10301092929 12590224691 37770674073 113312022219