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31200213120 = 273519855269
BaseRepresentation
bin11101000011101011…
…010111100010000000
32222112101201001020220
4131003223113202000
51002344223304440
622155544503040
72153112302316
oct350353274200
988471631226
1031200213120
11122607859aa
126068a7aa80
132c32c3258b
14171d9d20b6
15c291a78d0
hex743ad7880

31200213120 has 128 divisors (see below), whose sum is σ = 104685048000. Its totient is φ = 7882149888.

The previous prime is 31200213119. The next prime is 31200213127. The reversal of 31200213120 is 2131200213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31200213120.

It is not an unprimeable number, because it can be changed into a prime (31200213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391155 + ... + 464114.

Almost surely, 231200213120 is an apocalyptic number.

31200213120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200213120 is an abundant number, since it is smaller than the sum of its proper divisors (73484834880).

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

31200213120 is a wasteful number, since it uses less digits than its factorization.

31200213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855310 (or 855298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31200213120 its reverse (2131200213), we get a palindrome (33331413333).

The spelling of 31200213120 in words is "thirty-one billion, two hundred million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 855269 1710538 2565807 3421076 4276345 5131614 6842152 8552690 10263228 12829035 13684304 16250111 17105380 20526456 25658070 27368608 32500222 34210760 41052912 48750333 51316140 54737216 65000444 68421520 81250555 82105824 97500666 102632280 109474432 130000888 136843040 162501110 164211648 195001332 205264560 243751665 260001776 273686080 325002220 328423296 390002664 410529120 487503330 520003552 547372160 650004440 780005328 821058240 975006660 1040007104 1300008880 1560010656 1642116480 1950013320 2080014208 2600017760 3120021312 3900026640 5200035520 6240042624 7800053280 10400071040 15600106560 31200213120