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31434032220 = 22356733723203
BaseRepresentation
bin11101010001100111…
…010100010001011100
310000010200200021202120
4131101213110101130
51003334103012340
622235100222540
72161651602543
oct352147242134
9100120607676
1031434032220
1112370767728
12611323aa50
132c6c4cac86
141742a9915a
15c3e9924d0
hex7519d445c

31434032220 has 96 divisors (see below), whose sum is σ = 89597883648. Its totient is φ = 8232440832.

The previous prime is 31434032207. The next prime is 31434032293. The reversal of 31434032220 is 2223043413.

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, 1343139 + ... + 1366341.

It is an arithmetic number, because the mean of its divisors is an integer number (933311288).

Almost surely, 231434032220 is an apocalyptic number.

31434032220 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 31434032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44798941824).

31434032220 is an abundant number, since it is smaller than the sum of its proper divisors (58163851428).

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

31434032220 is a wasteful number, since it uses less digits than its factorization.

31434032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23619 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31434032220 its reverse (2223043413), we get a palindrome (33657075633).

The spelling of 31434032220 in words is "thirty-one billion, four hundred thirty-four million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 337 402 670 674 804 1005 1011 1340 1348 1685 2010 2022 3370 4020 4044 5055 6740 10110 20220 22579 23203 45158 46406 67737 69609 90316 92812 112895 116015 135474 139218 225790 232030 270948 278436 338685 348045 451580 464060 677370 696090 1354740 1392180 1554601 3109202 4663803 6218404 7773005 7819411 9327606 15546010 15638822 18655212 23319015 23458233 31092020 31277644 39097055 46638030 46916466 78194110 93276060 93832932 117291165 156388220 234582330 469164660 523900537 1047801074 1571701611 2095602148 2619502685 3143403222 5239005370 6286806444 7858508055 10478010740 15717016110 31434032220