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10022100112219 = 1343229320324443
BaseRepresentation
bin1001000111010111001110…
…1101111001001101011011
31022111002210101111021110011
42101311303231321031123
52303200230112042334
633152031135102351
72053033661243326
oct221656355711533
938432711437404
1010022100112219
113214392268478
12115a4250719b7
135791069600c0
142691022cd7bd
15125a70249564
hex91d73b7935b

10022100112219 has 32 divisors (see below), whose sum is σ = 11096175847680. Its totient is φ = 8993390491008.

The previous prime is 10022100112183. The next prime is 10022100112253. The reversal of 10022100112219 is 91221100122001.

It is a cyclic number.

It is not a de Polignac number, because 10022100112219 - 217 = 10022099981147 is a prime.

It is a super-2 number, since 2×100221001122192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022100112219.

It is not an unprimeable number, because it can be changed into a prime (10022100112819) 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, 410007012 + ... + 410031454.

It is an arithmetic number, because the mean of its divisors is an integer number (346755495240).

Almost surely, 210022100112219 is an apocalyptic number.

10022100112219 is a deficient number, since it is larger than the sum of its proper divisors (1074075735461).

10022100112219 is a wasteful number, since it uses less digits than its factorization.

10022100112219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27931.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10022100112219 in words is "ten trillion, twenty-two billion, one hundred million, one hundred twelve thousand, two hundred nineteen".

Divisors: 1 13 43 229 559 2977 3203 9847 24443 41639 128011 137729 317759 733487 1051049 1790477 5597447 9535331 13663637 31539941 72766811 78290929 240690221 410019233 1017782077 3128972873 3366509947 17928622741 43764629311 233072095633 770930777863 10022100112219