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21022000001112 = 23311971436957131
BaseRepresentation
bin1001100011110100100001…
…10101111011000001011000
32202102200110022202210010210
410301322100311323001120
510223411024000013422
6112413212401011120
74266534520502565
oct461722065730130
982380408683123
1021022000001112
11677541aa5a430
122436255323aa0
13b9649b401bc6
1452968244586c
15266c6cc2b10c
hex131e90d7b058

21022000001112 has 128 divisors (see below), whose sum is σ = 57928831430400. Its totient is φ = 6304080691200.

The previous prime is 21022000001111. The next prime is 21022000001113. The reversal of 21022000001112 is 21110000022012.

It is an interprime number because it is at equal distance from previous prime (21022000001111) and next prime (21022000001113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022000001111) 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, 367932787 + ... + 367989917.

It is an arithmetic number, because the mean of its divisors is an integer number (452568995550).

Almost surely, 221022000001112 is an apocalyptic number.

21022000001112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022000001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28964415715200).

21022000001112 is an abundant number, since it is smaller than the sum of its proper divisors (36906831429288).

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

21022000001112 is a wasteful number, since it uses less digits than its factorization.

21022000001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71617 (or 71613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21022000001112 its reverse (21110000022012), we get a palindrome (42132000023124).

The spelling of 21022000001112 in words is "twenty-one trillion, twenty-two billion, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 6402 8536 12804 14369 25608 28738 43107 57131 57476 86214 114262 114952 158059 171393 172428 228524 316118 342786 344856 457048 474177 628441 632236 685572 948354 1256882 1264472 1371144 1393793 1885323 1896708 2513764 2787586 3770646 3793416 4181379 5027528 5541707 5575172 7541292 8362758 11083414 11150344 15082584 15331723 16625121 16725516 22166828 30663446 33250242 33451032 44333656 45995169 60958777 61326892 66500484 91990338 121917554 122653784 133000968 182876331 183980676 243835108 365752662 367961352 487670216 731505324 820915339 1463010648 1641830678 2462746017 3283661356 4925492034 6567322712 9030068729 9850984068 18060137458 19701968136 27090206187 36120274916 54180412374 72240549832 79628787883 108360824748 159257575766 216721649496 238886363649 318515151532 477772727298 637030303064 875916666713 955545454596 1751833333426 1911090909192 2627750000139 3503666666852 5255500000278 7007333333704 10511000000556 21022000001112