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10132244430 = 2357116177109
BaseRepresentation
bin10010110111110110…
…11100011111001110
3222011010121100101020
421123323130133032
5131222323310210
64353225055010
7506041441140
oct113373343716
928133540336
1010132244430
11432a42a230
121b69327466
13c56210709
146c1948c90
153e47d1770
hex25bedc7ce

10132244430 has 128 divisors (see below), whose sum is σ = 30371189760. Its totient is φ = 2101693440.

The previous prime is 10132244429. The next prime is 10132244449. The reversal of 10132244430 is 3444223101.

It is a self number, because there is not a number n which added to its sum of digits gives 10132244430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1421716 + ... + 1428824.

It is an arithmetic number, because the mean of its divisors is an integer number (237274920).

Almost surely, 210132244430 is an apocalyptic number.

10132244430 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 10132244430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185594880).

10132244430 is an abundant number, since it is smaller than the sum of its proper divisors (20238945330).

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

10132244430 is a wasteful number, since it uses less digits than its factorization.

10132244430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10132244430 its reverse (3444223101), we get a palindrome (13576467531).

The spelling of 10132244430 in words is "ten billion, one hundred thirty-two million, two hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 617 770 1155 1234 1851 2310 3085 3702 4319 6170 6787 7109 8638 9255 12957 13574 14218 18510 20361 21327 21595 25914 33935 35545 40722 42654 43190 47509 49763 64785 67870 71090 78199 95018 99526 101805 106635 129570 142527 149289 156398 203610 213270 234597 237545 248815 285054 298578 390995 469194 475090 497630 547393 712635 746445 781990 1094786 1172985 1425270 1492890 1642179 2345970 2736965 3284358 4386253 5473930 8210895 8772506 13158759 16421790 21931265 26317518 30703771 43862530 48248783 61407542 65793795 92111313 96497566 131587590 144746349 153518855 184222626 241243915 289492698 307037710 337741481 460556565 482487830 675482962 723731745 921113130 1013224443 1447463490 1688707405 2026448886 3377414810 5066122215 10132244430