Search a number
-
+
31011203310 = 235173710715359
BaseRepresentation
bin11100111000011010…
…010110100011101110
32222001020001100112120
4130320122112203232
51002002332001220
622125113413410
72145325610313
oct347032264356
988036040476
1031011203310
111217401a04a
12601570a266
132c02a25759
141702870d0a
15c177bea40
hex7386968ee

31011203310 has 128 divisors (see below), whose sum is σ = 81696522240. Its totient is φ = 7501584384.

The previous prime is 31011203309. The next prime is 31011203323. The reversal of 31011203310 is 1330211013.

It is a super-2 number, since 2×310112033102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31011203310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2011411 + ... + 2026769.

It is an arithmetic number, because the mean of its divisors is an integer number (638254080).

Almost surely, 231011203310 is an apocalyptic number.

31011203310 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 31011203310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40848261120).

31011203310 is an abundant number, since it is smaller than the sum of its proper divisors (50685318930).

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

31011203310 is a wasteful number, since it uses less digits than its factorization.

31011203310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31011203310 its reverse (1330211013), we get a palindrome (32341414323).

The spelling of 31011203310 in words is "thirty-one billion, eleven million, two hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 107 111 170 185 214 222 255 321 370 510 535 555 629 642 1070 1110 1258 1605 1819 1887 3145 3210 3638 3774 3959 5457 6290 7918 9095 9435 10914 11877 15359 18190 18870 19795 23754 27285 30718 39590 46077 54570 59385 67303 76795 92154 118770 134606 153590 201909 230385 261103 336515 403818 460770 522206 568283 673030 783309 1009545 1136566 1305515 1566618 1643413 1704849 2019090 2611030 2841415 3286826 3409698 3916545 4930239 5682830 7833090 8217065 8524245 9660811 9860478 16434130 17048490 19321622 24651195 27938021 28982433 48304055 49302390 55876042 57964866 60806281 83814063 96608110 121612562 139690105 144912165 167628126 182418843 279380210 289824330 304031405 364837686 419070315 608062810 838140630 912094215 1033706777 1824188430 2067413554 3101120331 5168533885 6202240662 10337067770 15505601655 31011203310