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21121001101020 = 22353112201351419
BaseRepresentation
bin1001100110101100111011…
…10001001001011011011100
32202210010222212210202001210
410303112131301021123130
510232021302240213040
6112530504242104420
74306641045121122
oct463263561113334
982703885722053
1021121001101020
116803403553067
12245148464b110
13ba2917c9acb2
14530394963912
15269614400480
hex13359dc496dc

21121001101020 has 96 divisors (see below), whose sum is σ = 59332809070080. Its totient is φ = 5613792559360.

The previous prime is 21121001100919. The next prime is 21121001101021. The reversal of 21121001101020 is 2010110012112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21121001100987 and 21121001101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121001101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410736871 + ... + 410788289.

It is an arithmetic number, because the mean of its divisors is an integer number (618050094480).

Almost surely, 221121001101020 is an apocalyptic number.

21121001101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121001101020 is an abundant number, since it is smaller than the sum of its proper divisors (38211807969060).

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

21121001101020 is a wasteful number, since it uses less digits than its factorization.

21121001101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73755 (or 73753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21121001101020 its reverse (2010110012112), we get a palindrome (23131111113132).

The spelling of 21121001101020 in words is "twenty-one trillion, one hundred twenty-one billion, one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1866 3110 3732 4665 6220 9330 18660 22013 44026 51419 66039 88052 102838 110065 132078 154257 205676 220130 257095 264156 308514 330195 440260 514190 617028 660390 771285 1028380 1320780 1542570 3085140 6846043 13692086 15991309 20538129 27384172 31982618 34230215 41076258 47973927 63965236 68460430 79956545 82152516 95947854 102690645 136920860 159913090 191895708 205381290 239869635 319826180 410762580 479739270 959478540 1131886447 2263772894 3395659341 4527545788 5659432235 6791318682 11318864470 13582637364 16978296705 22637728940 33956593410 67913186820 352016685017 704033370034 1056050055051 1408066740068 1760083425085 2112100110102 3520166850170 4224200220204 5280250275255 7040333700340 10560500550510 21121001101020