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2142104215120 = 24530787219227
BaseRepresentation
bin11111001010111111010…
…111000101111001010000
321120210010220222221012121
4133022333113011321100
5240044012134340440
64320022531304024
7310522224255232
oct37127727057120
97523126887177
102142104215120
11756508a91991
122a71a244b014
13126ccc05b96c
147596d744252
153aac37ea34a
hex1f2bf5c5e50

2142104215120 has 40 divisors (see below), whose sum is σ = 4996615133664. Its totient is φ = 854050660992.

The previous prime is 2142104215099. The next prime is 2142104215127. The reversal of 2142104215120 is 215124012412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21421042151202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142104215127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43585054 + ... + 43634173.

Almost surely, 22142104215120 is an apocalyptic number.

2142104215120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142104215120 is an abundant number, since it is smaller than the sum of its proper divisors (2854510918544).

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

2142104215120 is a wasteful number, since it uses less digits than its factorization.

2142104215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87219547 (or 87219541 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 2142104215120 its reverse (215124012412), we get a palindrome (2357228227532).

The spelling of 2142104215120 in words is "two trillion, one hundred forty-two billion, one hundred four million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 307 614 1228 1535 2456 3070 4912 6140 12280 24560 87219227 174438454 348876908 436096135 697753816 872192270 1395507632 1744384540 3488769080 6977538160 26776302689 53552605378 107105210756 133881513445 214210421512 267763026890 428420843024 535526053780 1071052107560 2142104215120