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31321331430 = 23531181186071
BaseRepresentation
bin11101001010111001…
…011001011011100110
32222211211121111100020
4131022321121123212
51003121230101210
622215552500010
72156112632034
oct351271313346
988754544306
1031321331430
1112313090984
1260a154a606
132c5205b50c
141731b1d554
15c34b2e770
hex74ae596e6

31321331430 has 64 divisors (see below), whose sum is σ = 78025199616. Its totient is φ = 8038224000.

The previous prime is 31321331407. The next prime is 31321331513. The reversal of 31321331430 is 3413312313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31321331430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75295 + ... + 261365.

It is an arithmetic number, because the mean of its divisors is an integer number (1219143744).

Almost surely, 231321331430 is an apocalyptic number.

31321331430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321331430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012599808).

31321331430 is an abundant number, since it is smaller than the sum of its proper divisors (46703868186).

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

31321331430 is a wasteful number, since it uses less digits than its factorization.

31321331430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186293.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31321331430 its reverse (3413312313), we get a palindrome (34734643743).

The spelling of 31321331430 in words is "thirty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 181 186 310 362 465 543 905 930 1086 1810 2715 5430 5611 11222 16833 28055 33666 56110 84165 168330 186071 372142 558213 930355 1116426 1860710 2791065 5582130 5768201 11536402 17304603 28841005 33678851 34609206 57682010 67357702 86523015 101036553 168394255 173046030 202073106 336788510 505182765 1010365530 1044044381 2088088762 3132133143 5220221905 6264266286 10440443810 15660665715 31321331430