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100132230300 = 223526722212243
BaseRepresentation
bin101110101000001011…
…0001001010010011100
3100120110101110100010020
41131100112021102130
53120032322332200
6114000005112140
710143240625404
oct1352026112234
9316411410106
10100132230300
1139514040743
12174a60b8650
13959a02941b
144bbc841804
152910b58ea0
hex175058949c

100132230300 has 144 divisors (see below), whose sum is σ = 294303580032. Its totient is φ = 26279827200.

The previous prime is 100132230299. The next prime is 100132230323. The reversal of 100132230300 is 3032231001.

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 100132230300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44640979 + ... + 44643221.

Almost surely, 2100132230300 is an apocalyptic number.

100132230300 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 100132230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147151790016).

100132230300 is an abundant number, since it is smaller than the sum of its proper divisors (194171349732).

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

100132230300 is a wasteful number, since it uses less digits than its factorization.

100132230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100132230300 its reverse (3032231001), we get a palindrome (103164461301).

The spelling of 100132230300 in words is "one hundred billion, one hundred thirty-two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 2221 2243 3350 4020 4442 4486 5025 6663 6700 6729 8884 8972 10050 11105 11215 13326 13458 20100 22210 22430 26652 26916 33315 33645 44420 44860 55525 56075 66630 67290 111050 112150 133260 134580 148807 150281 166575 168225 222100 224300 297614 300562 333150 336450 446421 450843 595228 601124 666300 672900 744035 751405 892842 901686 1488070 1502810 1785684 1803372 2232105 2254215 2976140 3005620 3720175 3757025 4464210 4508430 4981703 7440350 7514050 8928420 9016860 9963406 11160525 11271075 14880700 14945109 15028100 19926812 22321050 22542150 24908515 29890218 44642100 45084300 49817030 59780436 74725545 99634060 124542575 149451090 249085150 298902180 333774101 373627725 498170300 667548202 747255450 1001322303 1335096404 1494510900 1668870505 2002644606 3337741010 4005289212 5006611515 6675482020 8344352525 10013223030 16688705050 20026446060 25033057575 33377410100 50066115150 100132230300