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21121322503616 = 267917993724907
BaseRepresentation
bin1001100110101101100001…
…11011001100110111000000
32202210011211021120200112122
410303112300323030313000
510232022432030103431
6112531000202543412
74306652030030666
oct463266073146700
982704737520478
1021121322503616
116803558a15645
122451554207b68
13ba296975074a
145303c5508c36
1526963273aa7b
hex1335b0eccdc0

21121322503616 has 112 divisors (see below), whose sum is σ = 42727541875200. Its totient is φ = 10357248964608.

The previous prime is 21121322503601. The next prime is 21121322503627. The reversal of 21121322503616 is 61630522312112.

It is a super-2 number, since 2×211213225036162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847995035 + ... + 848019941.

It is an arithmetic number, because the mean of its divisors is an integer number (381495909600).

Almost surely, 221121322503616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121322503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363770937600).

21121322503616 is an abundant number, since it is smaller than the sum of its proper divisors (21606219371584).

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

21121322503616 is a wasteful number, since it uses less digits than its factorization.

21121322503616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26114 (or 26104 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 21121322503616 its reverse (61630522312112), we get a palindrome (82751844815728).

The spelling of 21121322503616 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, five hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 158 179 316 358 632 716 937 1264 1432 1874 2528 2864 3748 5056 5728 7496 11456 14141 14992 24907 28282 29984 49814 56564 59968 74023 99628 113128 148046 167723 199256 226256 296092 335446 398512 452512 592184 670892 797024 905024 1184368 1341784 1594048 1967653 2368736 2683568 3935306 4458353 4737472 5367136 7870612 8916706 10734272 13250117 15741224 17833412 23337859 26500234 31482448 35666824 46675718 53000468 62964896 71333648 93351436 106000936 125929792 142667296 186702872 212001872 285334592 352209887 373405744 424003744 704419774 746811488 848007488 1408839548 1493622976 1843690861 2817679096 3687381722 4177476761 5635358192 7374763444 8354953522 11270716384 14749526888 16709907044 22541432768 29499053776 33419814088 58998107552 66839628176 117996215104 133679256352 267358512704 330020664119 660041328238 1320082656476 2640165312952 5280330625904 10560661251808 21121322503616