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10113111320 = 23513672811033
BaseRepresentation
bin10010110101100100…
…11101010100011000
3222002210121021200112
421122302131110120
5131202424030240
64351303023452
7505420012364
oct113262352430
928083537615
1010113111320
11431a651244
121b62a3ab88
13c52271a50
146bd1a82a4
153e2ca2665
hex25ac9d518

10113111320 has 128 divisors (see below), whose sum is σ = 24983259840. Its totient is φ = 3661701120.

The previous prime is 10113111319. The next prime is 10113111331. The reversal of 10113111320 is 2311131101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10113111295 and 10113111304.

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, 9789524 + ... + 9790556.

Almost surely, 210113111320 is an apocalyptic number.

10113111320 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 10113111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491629920).

10113111320 is an abundant number, since it is smaller than the sum of its proper divisors (14870148520).

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

10113111320 is a wasteful number, since it uses less digits than its factorization.

10113111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10113111320 its reverse (2311131101), we get a palindrome (12424242421).

The spelling of 10113111320 in words is "ten billion, one hundred thirteen million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 281 335 520 536 562 670 871 1033 1124 1340 1405 1742 2066 2248 2680 2810 3484 3653 4132 4355 5165 5620 6968 7306 8264 8710 10330 11240 13429 14612 17420 18265 18827 20660 26858 29224 34840 36530 37654 41320 53716 67145 69211 73060 75308 94135 107432 134290 138422 146120 150616 188270 244751 268580 276844 290273 346055 376540 489502 537160 553688 580546 692110 753080 899743 979004 1161092 1223755 1384220 1451365 1799486 1958008 2322184 2447510 2768440 2902730 3598972 3773549 4498715 4895020 5805460 7197944 7547098 8997430 9790040 11610920 15094196 17994860 18867745 19448291 30188392 35989720 37735490 38896582 75470980 77793164 97241455 150941960 155586328 194482910 252827783 388965820 505655566 777931640 1011311132 1264138915 2022622264 2528277830 5056555660 10113111320