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100134303324 = 223114735944959
BaseRepresentation
bin101110101000001111…
…0000011011001011100
3100120110112100122202220
41131100132003121130
53120033340201244
6114000121345340
710143264351246
oct1352036033134
9316415318686
10100134303324
1139515227190
12174a6938250
13959a5a3b73
144bbcc21096
152910e18319
hex175078365c

100134303324 has 96 divisors (see below), whose sum is σ = 261041356800. Its totient is φ = 29614733760.

The previous prime is 100134303323. The next prime is 100134303331. The reversal of 100134303324 is 423303431001.

100134303324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100134303294 and 100134303303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134303323) 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, 2204757 + ... + 2249715.

It is an arithmetic number, because the mean of its divisors is an integer number (2719180800).

Almost surely, 2100134303324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100134303324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130520678400).

100134303324 is an abundant number, since it is smaller than the sum of its proper divisors (160907053476).

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

100134303324 is a wasteful number, since it uses less digits than its factorization.

100134303324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45383 (or 45381 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 100134303324 its reverse (423303431001), we get a palindrome (523437734325).

The spelling of 100134303324 in words is "one hundred billion, one hundred thirty-four million, three hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 359 517 564 718 1034 1077 1436 1551 2068 2154 3102 3949 4308 6204 7898 11847 15796 16873 23694 33746 44959 47388 50619 67492 89918 101238 134877 179836 185603 202476 269754 371206 494549 539508 556809 742412 989098 1113618 1483647 1978196 2113073 2227236 2967294 4226146 5934588 6339219 8452292 12678438 16140281 23243803 25356876 32280562 46487606 48420843 64561124 69731409 92975212 96841686 139462818 177543091 193683372 278925636 355086182 532629273 710172364 758593207 1065258546 1517186414 2130517092 2275779621 3034372828 4551559242 8344525277 9103118484 16689050554 25033575831 33378101108 50067151662 100134303324