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101013232202021 = 17417327121133467
BaseRepresentation
bin10110111101111011111001…
…110100101011000100100101
3111020122202210211110110112002
4112331323321310223010211
5101220000044420431041
6554500501021135045
730163652026562606
oct2675737164530445
9436582724413462
10101013232202021
112a205520194317
12b3b505b0ba485
134449678933b09
141ad30d0789dad
15ba28bca5359b
hex5bdef9d2b125

101013232202021 has 64 divisors (see below), whose sum is σ = 111559482510336. Its totient is φ = 91074900787200.

The previous prime is 101013232202017. The next prime is 101013232202063. The reversal of 101013232202021 is 120202232310101.

It is a cyclic number.

It is not a de Polignac number, because 101013232202021 - 22 = 101013232202017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013232201984 and 101013232202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013232102021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29135629130 + ... + 29135632596.

It is an arithmetic number, because the mean of its divisors is an integer number (1743116914224).

Almost surely, 2101013232202021 is an apocalyptic number.

It is an amenable number.

101013232202021 is a deficient number, since it is larger than the sum of its proper divisors (10546250308315).

101013232202021 is a wasteful number, since it uses less digits than its factorization.

101013232202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101013232202021 its reverse (120202232310101), we get a palindrome (221215464512122).

The spelling of 101013232202021 in words is "one hundred one trillion, thirteen billion, two hundred thirty-two million, two hundred two thousand, twenty-one".

Divisors: 1 17 41 73 271 697 1241 2113 2993 3467 4607 11111 19783 35921 50881 58939 86633 142147 154249 188887 253091 336311 572623 811103 939557 1472761 2416499 2622233 4302547 6324209 7325771 9734591 10376731 13788751 15972469 23477543 38521837 41801479 68587661 107511553 124538107 176404427 300356611 399118231 534781283 654871229 710625143 1165990237 1713860639 1985283941 2812094101 5106062387 9091281811 21926032603 29135630863 33749826997 47805599717 81396641581 144925727693 372742554251 1383742906877 2463737370781 5941954835413 101013232202021