Search a number
-
+
100101202432231 = 71113313225845201
BaseRepresentation
bin10110110000101010100000…
…100111001101000011100111
3111010102120200220112202110111
4112300222200213031003213
5101110024230310312411
6552521505122033451
730041034053466130
oct2660524047150347
9433376626482414
10100101202432231
112999375515a420
12b28834a1a8887
1343b166cabbc40
141aa0cd1836c87
15b88cde375721
hex5b0aa09cd0e7

100101202432231 has 32 divisors (see below), whose sum is σ = 138737150447616. Its totient is φ = 69678256320000.

The previous prime is 100101202432223. The next prime is 100101202432237. The reversal of 100101202432231 is 132234202101001.

It is a cyclic number.

It is not a de Polignac number, because 100101202432231 - 23 = 100101202432223 is a prime.

It is a super-2 number, since 2×1001012024322312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101202432237) 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, 1612891570 + ... + 1612953631.

It is an arithmetic number, because the mean of its divisors is an integer number (4335535951488).

Almost surely, 2100101202432231 is an apocalyptic number.

100101202432231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101202432231 is a deficient number, since it is larger than the sum of its proper divisors (38635948015385).

100101202432231 is a wasteful number, since it uses less digits than its factorization.

100101202432231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225845263.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100101202432231 its reverse (132234202101001), we get a palindrome (232335404533232).

The spelling of 100101202432231 in words is "one hundred trillion, one hundred one billion, two hundred two million, four hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 3225845201 22580916407 35484297211 41935987613 100001201231 248390080477 293551913291 461295863743 700008408617 1100013213541 1300015616003 3229071046201 7700092494787 9100109312021 14300171776033 100101202432231