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22120202102000 = 2453101271404081
BaseRepresentation
bin1010000011110010000101…
…10010011110010011110000
32220022200002220202210221112
411001321002302132103300
510344404133214231000
6115013514111212452
74442063141363012
oct501710262362360
986280086683845
1022120202102000
117059141461192
122593062b17128
13c45c06874442
145668a2c221b2
152855e593b235
hex141e42c9e4f0

22120202102000 has 160 divisors (see below), whose sum is σ = 54215675474688. Its totient is φ = 8728128000000.

The previous prime is 22120202101969. The next prime is 22120202102113. The reversal of 22120202102000 is 20120202122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54539960 + ... + 54944040.

Almost surely, 222120202102000 is an apocalyptic number.

22120202102000 is a gapful number since it is divisible by the number (20) 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 22120202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107837737344).

22120202102000 is an abundant number, since it is smaller than the sum of its proper divisors (32095473372688).

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

22120202102000 is a wasteful number, since it uses less digits than its factorization.

22120202102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404476 (or 404460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22120202102000 its reverse (20120202122), we get a palindrome (22140322304122).

The spelling of 22120202102000 in words is "twenty-two trillion, one hundred twenty billion, two hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 271 400 404 500 505 542 808 1000 1010 1084 1355 1616 2000 2020 2168 2525 2710 4040 4336 5050 5420 6775 8080 10100 10840 12625 13550 20200 21680 25250 27100 27371 33875 40400 50500 54200 54742 67750 101000 108400 109484 135500 136855 202000 218968 271000 273710 404081 437936 542000 547420 684275 808162 1094840 1368550 1616324 2020405 2189680 2737100 3232648 3421375 4040810 5474200 6465296 6842750 8081620 10102025 10948400 13685500 16163240 20204050 27371000 32326480 40408100 40812181 50510125 54742000 80816200 81624362 101020250 109505951 161632400 163248724 202040500 204060905 219011902 326497448 404081000 408121810 438023804 547529755 652994896 808162000 816243620 876047608 1020304525 1095059510 1632487240 1752095216 2040609050 2190119020 2737648775 3264974480 4081218100 4380238040 5101522625 5475297550 8162436200 8760476080 10203045250 10950595100 11060101051 13688243875 16324872400 20406090500 21901190200 22120202102 27376487750 40812181000 43802380400 44240404204 54752975500 55300505255 81624362000 88480808408 109505951000 110601010510 176961616816 219011902000 221202021020 276502526275 442404042040 553005052550 884808084080 1106010105100 1382512631375 2212020210200 2765025262750 4424040420400 5530050525500 11060101051000 22120202102000