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101021200221222 = 232131203921011231
BaseRepresentation
bin10110111110000011010100…
…110000010000010000100110
3111020200112101010200210000100
4112332003110300100100212
5101220112404224034342
6554504255415324530
730164353341614361
oct2676032460202046
9436615333623010
10101021200221222
112a2089399a9056
12b3b6703680746
13444a34865a488
141ad3648acb0d8
15ba2bd7332e4c
hex5be0d4c10426

101021200221222 has 48 divisors (see below), whose sum is σ = 220658277565440. Its totient is φ = 33400291657200.

The previous prime is 101021200221211. The next prime is 101021200221239. The reversal of 101021200221222 is 222122002120101.

It is a happy number.

101021200221222 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 21 + 200 + 221 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101021200221195 and 101021200221204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5697654 + ... + 15313577.

It is an arithmetic number, because the mean of its divisors is an integer number (4597047449280).

Almost surely, 2101021200221222 is an apocalyptic number.

101021200221222 is an abundant number, since it is smaller than the sum of its proper divisors (119637077344218).

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

101021200221222 is a wasteful number, since it uses less digits than its factorization.

101021200221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21013409 (or 21013406 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101021200221222 its reverse (222122002120101), we get a palindrome (323143202341323).

The spelling of 101021200221222 in words is "one hundred one trillion, twenty-one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2039 2358 4078 6117 12234 18351 36702 267109 534218 801327 1602654 2403981 4807962 21011231 42022462 63033693 126067386 189101079 378202158 2752471261 5504942522 8257413783 16514827566 24772241349 42841900009 49544482698 85683800018 128525700027 257051400054 385577100081 771154200162 5612288901179 11224577802358 16836866703537 33673733407074 50510600110611 101021200221222