Search a number
-
+
100200501045200 = 2452526734755781
BaseRepresentation
bin10110110010000110111111…
…010001010110011111010000
3111010210002000012101221120202
4112302012333101112133100
5101113141111231421300
6553035250311554332
730051150552665363
oct2662067721263720
9433702005357522
10100200501045200
1129a21880689016
12b2a364108b9a8
1343bab361c4b6a
141aa5a3167c0da
15b8b6a1c16ad5
hex5b21bf4567d0

100200501045200 has 60 divisors (see below), whose sum is σ = 240736324686348. Its totient is φ = 40079431065600.

The previous prime is 100200501045193. The next prime is 100200501045233. The reversal of 100200501045200 is 2540105002001.

It can be written as a sum of positive squares in 6 ways, for example, as 3400955612224 + 96799545432976 = 1844168^2 + 9838676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18691310 + ... + 23447090.

Almost surely, 2100200501045200 is an apocalyptic number.

100200501045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200501045200 is an abundant number, since it is smaller than the sum of its proper divisors (140535823641148).

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

100200501045200 is a wasteful number, since it uses less digits than its factorization.

100200501045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808472 (or 4808461 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 100200501045200 its reverse (2540105002001), we get a palindrome (102740606047201).

The spelling of 100200501045200 in words is "one hundred trillion, two hundred billion, five hundred one million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 52673 105346 210692 263365 421384 526730 842768 1053460 1316825 2106920 2633650 4213840 4755781 5267300 9511562 10534600 19023124 21069200 23778905 38046248 47557810 76092496 95115620 118894525 190231240 237789050 380462480 475578100 951156200 1902312400 250501252613 501002505226 1002005010452 1252506263065 2004010020904 2505012526130 4008020041808 5010025052260 6262531315325 10020050104520 12525062630650 20040100209040 25050125261300 50100250522600 100200501045200