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10112021102022 = 2377350354711987
BaseRepresentation
bin1001001100100110001101…
…1011001111110111000110
31022210200220010200211221220
42103021203123033313012
52311133404400231042
633301222014021210
72062366211115420
oct223114333176706
938720803624856
1010112021102022
113249536323a84
12117393b4a7806
135847372aa688
1426d5d2901810
151280846ba8ec
hex932636cfdc6

10112021102022 has 128 divisors (see below), whose sum is σ = 23521270800384. Its totient is φ = 2838470439168.

The previous prime is 10112021101967. The next prime is 10112021102047. The reversal of 10112021102022 is 22020112021101.

It is a junction number, because it is equal to n+sod(n) for n = 10112021101992 and 10112021102010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843576313 + ... + 843588299.

It is an arithmetic number, because the mean of its divisors is an integer number (183759928128).

Almost surely, 210112021102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112021102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760635400192).

10112021102022 is an abundant number, since it is smaller than the sum of its proper divisors (13409249698362).

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

10112021102022 is a wasteful number, since it uses less digits than its factorization.

10112021102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10112021102022 its reverse (22020112021101), we get a palindrome (32132133123123).

The spelling of 10112021102022 in words is "ten trillion, one hundred twelve billion, twenty-one million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 503 511 547 1006 1022 1094 1509 1533 1641 3018 3066 3282 3521 3829 7042 7658 10563 11487 11987 21126 22974 23974 35961 36719 39931 71922 73438 79862 83909 110157 119793 167818 220314 239586 251727 257033 275141 279517 503454 514066 550282 559034 771099 825423 838551 875051 1542198 1650846 1677102 1750102 1925987 2625153 3851974 5250306 5777961 6029461 6125357 6556889 11555922 12058922 12250714 13113778 18088383 18376071 19670667 20085293 36176766 36752142 39341334 40170586 42206227 45898223 60255879 84412454 91796446 120511758 126618681 137694669 140597051 253237362 275389338 281194102 421791153 440150653 478652897 843582306 880301306 957305794 1320451959 1435958691 2640903918 2871917382 3081054571 3298115167 3350570279 6162109142 6596230334 6701140558 9243163713 9894345501 10051710837 18486327426 19788691002 20103421674 23086806169 46173612338 69260418507 138520837014 240762407191 481524814382 722287221573 1444574443146 1685336850337 3370673700674 5056010551011 10112021102022