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2122054355004 = 2231940922756127
BaseRepresentation
bin11110111000010100010…
…010111100100000111100
321111212101121122111201220
4132320110102330200330
5234231431403330004
64302505221233340
7306212325255453
oct36702422744074
97455347574656
102122054355004
11748a5a3a8261
122a3327862850
131251552474cc
14749ca99db9a
153a2ed4d0dd9
hex1ee144bc83c

2122054355004 has 48 divisors (see below), whose sum is σ = 5224806988800. Its totient is φ = 668483957376.

The previous prime is 2122054354993. The next prime is 2122054355011. The reversal of 2122054355004 is 4005534502212.

It is a happy number.

It is a super-3 number, since 3×21220543550043 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11284812 + ... + 11471315.

It is an arithmetic number, because the mean of its divisors is an integer number (108850145600).

Almost surely, 22122054355004 is an apocalyptic number.

It is an amenable number.

2122054355004 is an abundant number, since it is smaller than the sum of its proper divisors (3102752633796).

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

2122054355004 is a wasteful number, since it uses less digits than its factorization.

2122054355004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22756562 (or 22756560 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 2122054355004 its reverse (4005534502212), we get a palindrome (6127588857216).

The spelling of 2122054355004 in words is "two trillion, one hundred twenty-two billion, fifty-four million, three hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 409 818 1227 1636 2454 4908 7771 15542 23313 31084 46626 93252 22756127 45512254 68268381 91024508 136536762 273073524 432366413 864732826 1297099239 1729465652 2594198478 5188396956 9307255943 18614511886 27921767829 37229023772 55843535658 111687071316 176837862917 353675725834 530513588751 707351451668 1061027177502 2122054355004