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101010222222220 = 225197012879131711
BaseRepresentation
bin10110111101111001000110…
…011010100000101110001100
3111020122111001001122122110201
4112331321012122200232030
5101214422413342102340
6554455242214543244
730163514320303363
oct2675710632405614
9436574031578421
10101010222222220
112a204216127a03
12b3b455b067b24
1344492b9166c8c
141ad2cc6b067da
15ba279368c79a
hex5bde466a0b8c

101010222222220 has 96 divisors (see below), whose sum is σ = 223683644620800. Its totient is φ = 38209387104000.

The previous prime is 101010222222131. The next prime is 101010222222257. The reversal of 101010222222220 is 22222222010101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766842165 + ... + 766973875.

It is an arithmetic number, because the mean of its divisors is an integer number (2330037964800).

Almost surely, 2101010222222220 is an apocalyptic number.

101010222222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010222222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111841822310400).

101010222222220 is an abundant number, since it is smaller than the sum of its proper divisors (122673422398580).

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

101010222222220 is a wasteful number, since it uses less digits than its factorization.

101010222222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135319 (or 135317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 101010222222220 its reverse (22222222010101), we get a palindrome (123232444232321).

The spelling of 101010222222220 in words is "one hundred one trillion, ten billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 701 1402 2804 2879 3505 5758 7010 11516 13319 14020 14395 26638 28790 53276 54701 57580 66595 109402 131711 133190 218804 263422 266380 273505 526844 547010 658555 1094020 1317110 2018179 2502509 2634220 4036358 5005018 8072716 10010036 10090895 12512545 20181790 25025090 38345401 40363580 50050180 76690802 92329411 153381604 184658822 191727005 369317644 379195969 383454010 461647055 758391938 766908020 923294110 1516783876 1754258809 1846588220 1895979845 3508517618 3791959690 7017035236 7204723411 7583919380 8771294045 14409446822 17542588090 28818893644 35085176180 36023617055 72047234110 144094468220 265816374269 531632748538 1063265497076 1329081871345 2658163742690 5050511111111 5316327485380 10101022222222 20202044444444 25252555555555 50505111111110 101010222222220