Search a number
-
+
100332132301300 = 22528317609686479
BaseRepresentation
bin10110110100000001100101…
…000110101111100111110100
3111011020122202210211120220011
4112310001211012233213310
5101122320201332120200
6553215540102350004
730063520525132414
oct2664014506574764
9434218683746804
10100332132301300
1129a72689037a89
12b30505812b304
1343ca383027093
141aac15b656644
15b8ed07da05ba
hex5b40651af9f4

100332132301300 has 72 divisors (see below), whose sum is σ = 220356702518400. Its totient is φ = 39647015166720.

The previous prime is 100332132301277. The next prime is 100332132301333. The reversal of 100332132301300 is 3103231233001.

It is a congruent number.

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, 145811461 + ... + 146497939.

It is an arithmetic number, because the mean of its divisors is an integer number (3060509757200).

Almost surely, 2100332132301300 is an apocalyptic number.

100332132301300 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 100332132301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110178351259200).

100332132301300 is an abundant number, since it is smaller than the sum of its proper divisors (120024570217100).

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

100332132301300 is a wasteful number, since it uses less digits than its factorization.

100332132301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704185 (or 704178 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100332132301300 its reverse (3103231233001), we get a palindrome (103435363534301).

The spelling of 100332132301300 in words is "one hundred trillion, three hundred thirty-two billion, one hundred thirty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 17609 35218 70436 88045 176090 352180 440225 686479 880450 1372958 1461547 1760900 2745916 2923094 3432395 5846188 6864790 7307735 13729580 14615470 17161975 29230940 34323950 36538675 56977757 68647900 73077350 113955514 146154700 227911028 284888785 569777570 1139555140 1424443925 2848887850 5697775700 12088208711 24176417422 48352834844 60441043555 120882087110 241764174220 302205217775 604410435550 1003321323013 1208820871100 2006642646026 4013285292052 5016606615065 10033213230130 20066426460260 25083033075325 50166066150650 100332132301300