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100022101020219 = 3731839183127271
BaseRepresentation
bin10110101111100000110101…
…110011010000111000111011
3111010011000112012021200110010
4112233200311303100320323
5101102230230330121334
6552421304024153003
730032233622542440
oct2657406563207073
9433130465250403
10100022101020219
1129963153500844
12b274b53308763
1343a7074ba7bc1
141a9b14a16b9c7
15b86c0ec050e9
hex5af835cd0e3b

100022101020219 has 32 divisors (see below), whose sum is σ = 157518754283520. Its totient is φ = 55245834813600.

The previous prime is 100022101020211. The next prime is 100022101020221. The reversal of 100022101020219 is 912020101220001.

It is not a de Polignac number, because 100022101020219 - 23 = 100022101020211 is a prime.

It is a super-2 number, since 2×1000221010202192 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100022101020195 and 100022101020204.

It is not an unprimeable number, because it can be changed into a prime (100022101020211) 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, 91017447 + ... + 92109824.

It is an arithmetic number, because the mean of its divisors is an integer number (4922461071360).

Almost surely, 2100022101020219 is an apocalyptic number.

100022101020219 is a deficient number, since it is larger than the sum of its proper divisors (57496653263301).

100022101020219 is a wasteful number, since it uses less digits than its factorization.

100022101020219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183128151.

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

The spelling of 100022101020219 in words is "one hundred trillion, twenty-two billion, one hundred one million, twenty thousand, two hundred nineteen".

Divisors: 1 3 7 21 31 93 217 651 839 2517 5873 17619 26009 78027 182063 546189 183127271 549381813 1281890897 3845672691 5676945401 17030836203 39738617807 119215853421 153643780369 460931341107 1075506462583 3226519387749 4762957191439 14288871574317 33340700340073 100022101020219