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10320133110 = 2357611814451
BaseRepresentation
bin10011001110010000…
…01011101111110110
3222122020011002012020
421213020023233312
5132113423224420
64424020134010
7513512453430
oct114710135766
928566132166
1010320133110
11441649a831
122000237306
13c86117151
146dc897650
15406047340
hex26720bbf6

10320133110 has 128 divisors (see below), whose sum is σ = 28936147968. Its totient is φ = 2306880000.

The previous prime is 10320132943. The next prime is 10320133133. The reversal of 10320133110 is 1133102301.

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 10320133110.

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, 2316385 + ... + 2320835.

It is an arithmetic number, because the mean of its divisors is an integer number (226063656).

Almost surely, 210320133110 is an apocalyptic number.

10320133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468073984).

10320133110 is an abundant number, since it is smaller than the sum of its proper divisors (18616014858).

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

10320133110 is a wasteful number, since it uses less digits than its factorization.

10320133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710.

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

Adding to 10320133110 its reverse (1133102301), we get a palindrome (11453235411).

The spelling of 10320133110 in words is "ten billion, three hundred twenty million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 181 183 210 305 362 366 427 543 610 854 905 915 1086 1267 1281 1810 1830 2135 2534 2562 2715 3801 4270 4451 5430 6335 6405 7602 8902 11041 12670 12810 13353 19005 22082 22255 26706 31157 33123 38010 44510 55205 62314 66246 66765 77287 93471 110410 133530 154574 155785 165615 186942 231861 271511 311570 331230 386435 463722 467355 543022 772870 805631 814533 934710 1159305 1357555 1611262 1629066 1900577 2318610 2416893 2715110 3801154 4028155 4072665 4833786 5639417 5701731 8056310 8145330 9502885 11278834 11403462 12084465 16918251 19005770 24168930 28197085 28508655 33836502 49143491 56394170 57017310 84591255 98286982 147430473 169182510 245717455 294860946 344004437 491434910 688008874 737152365 1032013311 1474304730 1720022185 2064026622 3440044370 5160066555 10320133110