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31010001330 = 23572111917749
BaseRepresentation
bin11100111000010101…
…110001000110110010
32222001010210021201210
4130320111301012302
51002002030020310
622125031540550
72145312443100
oct347025610662
988033707653
1031010001330
1112173378a80
12601522a756
132c026c4619
14170263ac70
15c17633820
hex7385711b2

31010001330 has 96 divisors (see below), whose sum is σ = 94445352000. Its totient is φ = 6443633280.

The previous prime is 31010001317. The next prime is 31010001331. The reversal of 31010001330 is 3310001013.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31010001331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 942705 + ... + 975044.

It is an arithmetic number, because the mean of its divisors is an integer number (983805750).

Almost surely, 231010001330 is an apocalyptic number.

31010001330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31010001330 is an abundant number, since it is smaller than the sum of its proper divisors (63435350670).

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

31010001330 is a wasteful number, since it uses less digits than its factorization.

31010001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917784 (or 1917777 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31010001330 its reverse (3310001013), we get a palindrome (34320002343).

The spelling of 31010001330 in words is "thirty-one billion, ten million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 1917749 3835498 5753247 9588745 11506494 13424243 19177490 21095239 26848486 28766235 40272729 42190478 57532470 63285717 67121215 80545458 93969701 105476195 126571434 134242430 147666673 187939402 201363645 210952390 281909103 295333346 316428585 402727290 443000019 469848505 563818206 632857170 738333365 886000038 939697010 1033666711 1409545515 1476666730 2067333422 2215000095 2819091030 3101000133 4430000190 5168333555 6202000266 10336667110 15505000665 31010001330