Search a number
-
+
100200203323002 = 23241227598117327
BaseRepresentation
bin10110110010000110101101…
…100001101000011001111010
3111010210001020110012002111200
4112302012231201220121322
5101113140004022314002
6553035200554435030
730051140306253546
oct2662065541503172
9433701213162450
10100200203323002
1129a2173861aa12
12b2a3579432a76
1343baab9613a93
141aa5a03cdca26
15b8b685a07b1c
hex5b21ad86867a

100200203323002 has 48 divisors (see below), whose sum is σ = 223375289784192. Its totient is φ = 32441883762240.

The previous prime is 100200203322943. The next prime is 100200203323009. The reversal of 100200203323002 is 200323302002001.

It is a happy number.

100200203323002 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 0 + 20 + 332 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100200203323009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298891138 + ... + 299226189.

It is an arithmetic number, because the mean of its divisors is an integer number (4653651870504).

Almost surely, 2100200203323002 is an apocalyptic number.

100200203323002 is an abundant number, since it is smaller than the sum of its proper divisors (123175086461190).

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

100200203323002 is a wasteful number, since it uses less digits than its factorization.

100200203323002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598117603 (or 598117600 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100200203323002 its reverse (200323302002001), we get a palindrome (300523505325003).

The spelling of 100200203323002 in words is "one hundred trillion, two hundred billion, two hundred three million, three hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 41 82 123 227 246 369 454 681 738 1362 2043 4086 9307 18614 27921 55842 83763 167526 598117327 1196234654 1794351981 3588703962 5383055943 10766111886 24522810407 49045620814 73568431221 135772633229 147136862442 220705293663 271545266458 407317899687 441410587326 814635799374 1221953699061 2443907398122 5566677962389 11133355924778 16700033887167 33400067774334 50100101661501 100200203323002