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31431100340 = 22523612933823
BaseRepresentation
bin11101010001011100…
…001000011110110100
310000010111011022222102
4131101130020132310
51003332330202330
622234513321232
72161614642023
oct352134103664
9100114138872
1031431100340
111236a044992
126112266218
132c6ba12633
1417425348ba
15c3e5b3945
hex7517087b4

31431100340 has 96 divisors (see below), whose sum is σ = 70261502976. Its totient is φ = 11785213440.

The previous prime is 31431100339. The next prime is 31431100361. The reversal of 31431100340 is 4300113413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8219669 + ... + 8223491.

It is an arithmetic number, because the mean of its divisors is an integer number (731890656).

Almost surely, 231431100340 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 31431100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35130751488).

31431100340 is an abundant number, since it is smaller than the sum of its proper divisors (38830402636).

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

31431100340 is a wasteful number, since it uses less digits than its factorization.

31431100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31431100340 its reverse (4300113413), we get a palindrome (35731213753).

The spelling of 31431100340 in words is "thirty-one billion, four hundred thirty-one million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 293 305 460 586 610 1172 1220 1403 1465 2806 2930 3823 5612 5860 6739 7015 7646 13478 14030 15292 17873 19115 26956 28060 33695 35746 38230 67390 71492 76460 87929 89365 134780 175858 178730 233203 351716 357460 411079 439645 466406 822158 879290 932812 1120139 1166015 1644316 1758580 2055395 2240278 2332030 4110790 4480556 4664060 5363669 5600695 8221580 10727338 11201390 21454676 22402780 25763197 26818345 51526394 53636690 68328479 103052788 107273380 128815985 136656958 257631970 273313916 341642395 515263940 683284790 1366569580 1571555017 3143110034 6286220068 7857775085 15715550170 31431100340