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100012132300 = 225241136117923
BaseRepresentation
bin101110100100100110…
…0000000011111001100
3100120011000110201122011
41131021030000133030
53114311101213200
6113540035031004
710140252045433
oct1351114003714
9316130421564
10100012132300
11394622722a3
1217471a3b464
13957b199a12
144baa8dc11a
1529053345ba
hex17493007cc

100012132300 has 72 divisors (see below), whose sum is σ = 222495415632. Its totient is φ = 38998272000.

The previous prime is 100012132249. The next prime is 100012132313. The reversal of 100012132300 is 3231210001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5571139 + ... + 5589061.

It is an arithmetic number, because the mean of its divisors is an integer number (3090214106).

Almost surely, 2100012132300 is an apocalyptic number.

100012132300 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 100012132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111247707816).

100012132300 is an abundant number, since it is smaller than the sum of its proper divisors (122483283332).

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

100012132300 is a wasteful number, since it uses less digits than its factorization.

100012132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100012132300 its reverse (3231210001), we get a palindrome (103243342301).

The spelling of 100012132300 in words is "one hundred billion, twelve million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1361 2050 2722 4100 5444 6805 13610 17923 27220 34025 35846 55801 68050 71692 89615 111602 136100 179230 223204 279005 358460 448075 558010 734843 896150 1116020 1395025 1469686 1792300 2790050 2939372 3674215 5580100 7348430 14696860 18371075 24393203 36742150 48786406 73484300 97572812 121966015 243932030 487864060 609830075 1000121323 1219660150 2000242646 2439320300 4000485292 5000606615 10001213230 20002426460 25003033075 50006066150 100012132300