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31300102240 = 25511107166207
BaseRepresentation
bin11101001001101000…
…011010100001100000
32222210100122221100221
4131021220122201200
51003100311232430
622213513452424
72155434323251
oct351150324140
988710587327
1031300102240
11123021010a0
126096411114
132c4a837774
14172cd94b28
15c32d3957a
hex749a1a860

31300102240 has 96 divisors (see below), whose sum is σ = 81423304704. Its totient is φ = 11275415040.

The previous prime is 31300102231. The next prime is 31300102247. The reversal of 31300102240 is 4220100313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300102247) 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, 105217 + ... + 271423.

It is an arithmetic number, because the mean of its divisors is an integer number (848159424).

Almost surely, 231300102240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711652352).

31300102240 is an abundant number, since it is smaller than the sum of its proper divisors (50123202464).

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

31300102240 is a wasteful number, since it uses less digits than its factorization.

31300102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166340 (or 166332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31300102240 its reverse (4220100313), we get a palindrome (35520202553).

The spelling of 31300102240 in words is "thirty-one billion, three hundred million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 107 110 160 176 214 220 352 428 440 535 856 880 1070 1177 1712 1760 2140 2354 3424 4280 4708 5885 8560 9416 11770 17120 18832 23540 37664 47080 94160 166207 188320 332414 664828 831035 1329656 1662070 1828277 2659312 3324140 3656554 5318624 6648280 7313108 9141385 13296560 14626216 17784149 18282770 26593120 29252432 35568298 36565540 58504864 71136596 73131080 88920745 142273192 146262160 177841490 195625639 284546384 292524320 355682980 391251278 569092768 711365960 782502556 978128195 1422731920 1565005112 1956256390 2845463840 3130010224 3912512780 6260020448 7825025560 15650051120 31300102240