Search a number
-
+
100202001111201 = 31141591104766089
BaseRepresentation
bin10110110010001000011000…
…101011101001100010100001
3111010210012212202001012021210
4112302020120223221202201
5101113202144241024301
6553040055215340333
730051232666226553
oct2662103053514241
9433705782035253
10100202001111201
1129a22480403890
12b2a399b5216a9
1343bb014c0b192
141aa5b3499b4d3
15b8b73d775ad6
hex5b2218ae98a1

100202001111201 has 32 divisors (see below), whose sum is σ = 145798812057600. Its totient is φ = 60707469271680.

The previous prime is 100202001111193. The next prime is 100202001111217. The reversal of 100202001111201 is 102111100202001.

It is not a de Polignac number, because 100202001111201 - 23 = 100202001111193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100202001111301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516134565 + ... + 1516200653.

It is an arithmetic number, because the mean of its divisors is an integer number (4556212876800).

Almost surely, 2100202001111201 is an apocalyptic number.

100202001111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202001111201 is a deficient number, since it is larger than the sum of its proper divisors (45596810946399).

100202001111201 is a wasteful number, since it uses less digits than its factorization.

100202001111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81309.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100202001111201 its reverse (102111100202001), we get a palindrome (202313101313202).

The spelling of 100202001111201 in words is "one hundred trillion, two hundred two billion, one million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 11 33 4159 11047 12477 33141 45749 66089 121517 137247 198267 364551 726979 2180937 45944473 137833419 274864151 505389203 730085183 824592453 1516167609 2190255549 3023505661 8030937013 9070516983 24092811039 3036424276097 9109272828291 33400667037067 100202001111201