Search a number
-
+
10331021320 = 2352373199773
BaseRepresentation
bin10011001111100011…
…01110000000001000
3222122222122021000021
421213301232000020
5132124220140240
64425045350224
7514004142454
oct114761560010
928588567007
1010331021320
114421657254
122003a08374
13c8845a089
147000cd664
15406e9854a
hex267c6e008

10331021320 has 128 divisors (see below), whose sum is σ = 24743232000. Its totient is φ = 3873982464.

The previous prime is 10331021317. The next prime is 10331021321. The reversal of 10331021320 is 2312013301.

It is a junction number, because it is equal to n+sod(n) for n = 10331021294 and 10331021303.

It is not an unprimeable number, because it can be changed into a prime (10331021321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13364454 + ... + 13365226.

It is an arithmetic number, because the mean of its divisors is an integer number (193306500).

Almost surely, 210331021320 is an apocalyptic number.

10331021320 is a gapful number since it is divisible by the number (10) 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 10331021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371616000).

10331021320 is an abundant number, since it is smaller than the sum of its proper divisors (14412210680).

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

10331021320 is a wasteful number, since it uses less digits than its factorization.

10331021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10331021320 its reverse (2312013301), we get a palindrome (12643034621).

The spelling of 10331021320 in words is "ten billion, three hundred thirty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 146 184 199 230 292 365 398 460 584 730 773 796 920 995 1460 1546 1592 1679 1990 2920 3092 3358 3865 3980 4577 6184 6716 7730 7960 8395 9154 13432 14527 15460 16790 17779 18308 22885 29054 30920 33580 35558 36616 45770 56429 58108 67160 71116 72635 88895 91540 112858 116216 142232 145270 153827 177790 183080 225716 282145 290540 307654 334121 355580 451432 564290 581080 615308 668242 711160 769135 1128580 1230616 1297867 1336484 1538270 1670605 2257160 2595734 2672968 3076540 3341210 3538021 5191468 6153080 6489335 6682420 7076042 10382936 11229371 12978670 13364840 14152084 17690105 22458742 25957340 28304168 35380210 44917484 51914680 56146855 70760420 89834968 112293710 141520840 224587420 258275533 449174840 516551066 1033102132 1291377665 2066204264 2582755330 5165510660 10331021320