Search a number
-
+
31002321120 = 2535311207679
BaseRepresentation
bin11100110111111000…
…011110000011100000
32222000121100002110120
4130313320132003200
51001443043233440
622124155200240
72145160244601
oct346770360340
988017302416
1031002321120
111216a0027a1
126012746080
132c00c35914
1417015dbda8
15c16b17dd0
hex737e1e0e0

31002321120 has 96 divisors (see below), whose sum is σ = 97971793920. Its totient is φ = 8240663040.

The previous prime is 31002320989. The next prime is 31002321121. The reversal of 31002321120 is 2112320013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×310023211202 (a number of 22 digits) contains 22 as substring.

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 31002321120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002321121) 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, 45441 + ... + 253119.

It is an arithmetic number, because the mean of its divisors is an integer number (1020539520).

Almost surely, 231002321120 is an apocalyptic number.

31002321120 is a gapful number since it is divisible by the number (30) 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 31002321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48985896960).

31002321120 is an abundant number, since it is smaller than the sum of its proper divisors (66969472800).

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

31002321120 is a wasteful number, since it uses less digits than its factorization.

31002321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208008 (or 208000 counting only the distinct ones).

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

Adding to 31002321120 its reverse (2112320013), we get a palindrome (33114641133).

The spelling of 31002321120 in words is "thirty-one billion, two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 311 480 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 9952 12440 14928 18660 24880 29856 37320 49760 74640 149280 207679 415358 623037 830716 1038395 1246074 1661432 2076790 2492148 3115185 3322864 4153580 4984296 6230370 6645728 8307160 9968592 12460740 16614320 19937184 24921480 33228640 49842960 64588169 99685920 129176338 193764507 258352676 322940845 387529014 516705352 645881690 775058028 968822535 1033410704 1291763380 1550116056 1937645070 2066821408 2583526760 3100232112 3875290140 5167053520 6200464224 7750580280 10334107040 15501160560 31002321120