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100232002101 = 371112717919087
BaseRepresentation
bin101110101011001001…
…0101111101000110101
3100120201100012021022010
41131112102233220311
53120233343031401
6114013531354433
710145561650320
oct1352622575065
9316640167263
10100232002101
1139565396780
12175135b2a19
1395b48c00aa
144bcbbb37b7
1529197b5ed6
hex17564afa35

100232002101 has 64 divisors (see below), whose sum is σ = 168878407680. Its totient is φ = 51367296960.

The previous prime is 100232002067. The next prime is 100232002141. The reversal of 100232002101 is 101200232001.

It is not a de Polignac number, because 100232002101 - 211 = 100232000053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232002141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5241780 + ... + 5260866.

It is an arithmetic number, because the mean of its divisors is an integer number (2638725120).

Almost surely, 2100232002101 is an apocalyptic number.

100232002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100232002101 is a deficient number, since it is larger than the sum of its proper divisors (68646405579).

100232002101 is a wasteful number, since it uses less digits than its factorization.

100232002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100232002101 its reverse (101200232001), we get a palindrome (201432234102).

The spelling of 100232002101 in words is "one hundred billion, two hundred thirty-two million, two thousand, one hundred one".

Divisors: 1 3 7 11 21 33 77 127 179 231 381 537 889 1253 1397 1969 2667 3759 4191 5907 9779 13783 19087 22733 29337 41349 57261 68199 133609 159131 209957 250063 400827 477393 629871 750189 1469699 1750441 2424049 3416573 4409097 5251323 7272147 10249719 16968343 23916011 26664539 37582303 50905029 71748033 79993617 112746909 186651773 263076121 433904771 559955319 789228363 1301714313 3037333397 4772952481 9112000191 14318857443 33410667367 100232002101