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101002102332 = 223533073971303
BaseRepresentation
bin101111000010000110…
…0011100011000111100
3100122201000021102012220
41132010030130120330
53123323014233312
6114222201325340
710203632463435
oct1360414343074
9318630242186
10101002102332
113992006544a
12176a9496850
1396a83047c1
144c6219848c
1529621d3c8c
hex178431c63c

101002102332 has 96 divisors (see below), whose sum is σ = 241692498432. Its totient is φ = 32816399616.

The previous prime is 101002102283. The next prime is 101002102349. The reversal of 101002102332 is 233201200101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77514393 + ... + 77515695.

It is an arithmetic number, because the mean of its divisors is an integer number (2517630192).

Almost surely, 2101002102332 is an apocalyptic number.

101002102332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002102332 is an abundant number, since it is smaller than the sum of its proper divisors (140690396100).

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

101002102332 is a wasteful number, since it uses less digits than its factorization.

101002102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101002102332 its reverse (233201200101), we get a palindrome (334203302433).

The spelling of 101002102332 in words is "one hundred one billion, two million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 307 318 397 614 636 794 921 1191 1228 1303 1588 1842 2382 2606 3684 3909 4764 5212 7818 15636 16271 21041 32542 42082 48813 63123 65084 69059 84164 97626 121879 126246 138118 195252 207177 243758 252492 276236 365637 400021 414354 487516 517291 731274 800042 828708 1034582 1200063 1462548 1551873 1600084 2069164 2400126 3103746 4800252 6207492 6459587 12919174 19378761 21201113 25838348 27416423 38757522 42402226 54832846 63603339 77515044 82249269 84804452 109665692 127206678 158808337 164498538 254413356 317616674 328997076 476425011 635233348 952850022 1905700044 8416841861 16833683722 25250525583 33667367444 50501051166 101002102332