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10132223010 = 23571318312027
BaseRepresentation
bin10010110111110110…
…10111010000100010
3222011010120020222220
421123323113100202
5131222322114020
64353224411510
7506041321530
oct113373272042
928133506886
1010132223010
11432a415128
121b69316b96
13c56203a40
146c1941150
153e47ca240
hex25bed7422

10132223010 has 128 divisors (see below), whose sum is σ = 29960146944. Its totient is φ = 2135566080.

The previous prime is 10132223009. The next prime is 10132223021. The reversal of 10132223010 is 1032223101.

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

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, 4997617 + ... + 4999643.

It is an arithmetic number, because the mean of its divisors is an integer number (234063648).

Almost surely, 210132223010 is an apocalyptic number.

10132223010 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 10132223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980073472).

10132223010 is an abundant number, since it is smaller than the sum of its proper divisors (19827923934).

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

10132223010 is a wasteful number, since it uses less digits than its factorization.

10132223010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10132223010 its reverse (1032223101), we get a palindrome (11164446111).

Subtracting from 10132223010 its reverse (1032223101), we obtain a palindrome (9099999909).

The spelling of 10132223010 in words is "ten billion, one hundred thirty-two million, two hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1831 2027 2730 3662 4054 5493 6081 9155 10135 10986 12162 12817 14189 18310 20270 23803 25634 26351 27465 28378 30405 38451 42567 47606 52702 54930 60810 64085 70945 71409 76902 79053 85134 119015 128170 131755 141890 142818 158106 166621 184457 192255 212835 238030 263510 333242 357045 368914 384510 395265 425670 499863 553371 714090 790530 833105 922285 999726 1106742 1666210 1844570 2499315 2766855 3711437 4998630 5533710 7422874 11134311 18557185 22268622 25980059 37114370 48248681 51960118 55671555 77940177 96497362 111343110 129900295 144746043 155880354 241243405 259800590 289492086 337740767 389700885 482486810 675481534 723730215 779401770 1013222301 1447460430 1688703835 2026444602 3377407670 5066111505 10132223010