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22211320111113 = 3737457316719751
BaseRepresentation
bin1010000110011011110011…
…10110000110000000001001
32220122101022002101021020210
411003031321312012000021
510402402240422023423
6115123423430311333
74451500134600240
oct503157166060011
986571262337223
1022211320111113
11709384a178051
1225a88521b8549
13c516981b1573
1456b0683c9957
15287b7a009b93
hex143379d86009

22211320111113 has 64 divisors (see below), whose sum is σ = 34849399799808. Its totient is φ = 12317614272000.

The previous prime is 22211320111103. The next prime is 22211320111163. The reversal of 22211320111113 is 31111102311222.

It is not a de Polignac number, because 22211320111113 - 218 = 22211319848969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22211320111113.

It is not an unprimeable number, because it can be changed into a prime (22211320111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124556988 + ... + 1124576738.

It is an arithmetic number, because the mean of its divisors is an integer number (544521871872).

Almost surely, 222211320111113 is an apocalyptic number.

It is an amenable number.

22211320111113 is a deficient number, since it is larger than the sum of its proper divisors (12638079688695).

22211320111113 is a wasteful number, since it uses less digits than its factorization.

22211320111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23422.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 22211320111113 its reverse (31111102311222), we get a palindrome (53322422422335).

The spelling of 22211320111113 in words is "twenty-two trillion, two hundred eleven billion, three hundred twenty million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 7 21 37 111 259 457 777 1371 3167 3199 9501 9597 16909 19751 22169 50727 59253 66507 117179 118363 138257 351537 355089 414771 730787 820253 1447319 2192361 2460759 4341957 5115509 9026207 10131233 15346527 27078621 30393699 53550803 62551417 63183449 160652409 187654251 189550347 333969659 374855621 437859919 1001908977 1124566863 1313579757 2314402429 2337787613 6943207287 7013362839 16200817003 28585997569 48602451009 85757992707 200101982983 600305948949 1057681910053 3173045730159 7403773370371 22211320111113