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22106175013000 = 2353132958637069
BaseRepresentation
bin1010000011010111111101…
…01101011000000010001000
32220021022220100022212020201
411001223332231120002020
510344141421300404000
6115003234150101544
74441055424161551
oct501537655300210
986238810285221
1022106175013000
1170531a3540651
1225903a934a8b4
13c447ac76c590
14565d31cd7328
1528507425696a
hex141afeb58088

22106175013000 has 128 divisors (see below), whose sum is σ = 57628512396000. Its totient is φ = 7880821939200.

The previous prime is 22106175012973. The next prime is 22106175013049. The reversal of 22106175013000 is 31057160122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8883773680356 + 13222401332644 = 2980566^2 + 3636262^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22106175013000.

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, 28941535 + ... + 29695534.

Almost surely, 222106175013000 is an apocalyptic number.

22106175013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22106175013000 is an abundant number, since it is smaller than the sum of its proper divisors (35522337383000).

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

22106175013000 is a wasteful number, since it uses less digits than its factorization.

22106175013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58637132 (or 58637118 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 22106175013000 in words is "twenty-two trillion, one hundred six billion, one hundred seventy-five million, thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 125 130 145 200 232 250 260 290 325 377 500 520 580 650 725 754 1000 1160 1300 1450 1508 1625 1885 2600 2900 3016 3250 3625 3770 5800 6500 7250 7540 9425 13000 14500 15080 18850 29000 37700 47125 75400 94250 188500 377000 58637069 117274138 234548276 293185345 469096552 586370690 762281897 1172741380 1465926725 1524563794 1700475001 2345482760 2931853450 3049127588 3400950002 3811409485 5863706900 6098255176 6801900004 7329633625 7622818970 8502375005 11727413800 13603800008 14659267250 15245637940 17004750010 19057047425 22106175013 29318534500 30491275880 34009500020 38114094850 42511875025 44212350026 58637069000 68019000040 76228189700 85023750050 88424700052 95285237125 110530875065 152456379400 170047500100 176849400104 190570474250 212559375125 221061750130 340095000200 381140948500 425118750250 442123500260 552654375325 762281897000 850237500500 884247000520 1105308750650 1700475001000 2210617501300 2763271876625 4421235002600 5526543753250 11053087506500 22106175013000