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231001000101 = 32376182713751
BaseRepresentation
bin1101011100100010111…
…0111000100010100101
3211002020212010122212100
43113020232320202211
512241042224000401
6254042001042313
722455264050334
oct3271056704245
9732225118770
10231001000101
1189a70051443
1238929926399
1318a24bb1711
14b275457d1b
15601edcab86
hex35c8bb88a5

231001000101 has 48 divisors (see below), whose sum is σ = 348750499968. Its totient is φ = 147193200000.

The previous prime is 231001000099. The next prime is 231001000117. The reversal of 231001000101 is 101000100132.

231001000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231001000101 - 21 = 231001000099 is a prime.

It is a super-2 number, since 2×2310010001012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231001000501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16791976 + ... + 16805726.

It is an arithmetic number, because the mean of its divisors is an integer number (7265635416).

Almost surely, 2231001000101 is an apocalyptic number.

It is an amenable number.

231001000101 is a deficient number, since it is larger than the sum of its proper divisors (117749499867).

231001000101 is a wasteful number, since it uses less digits than its factorization.

231001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 231001000101 its reverse (101000100132), we get a palindrome (332001100233).

It can be divided in two parts, 23100 and 1000101, that added together give a palindrome (1023201).

The spelling of 231001000101 in words is "two hundred thirty-one billion, one million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 37 61 111 183 333 549 827 2257 2481 6771 7443 13751 20313 30599 41253 50447 91797 123759 151341 275391 454023 508787 838811 1526361 1866539 2516433 4579083 5599617 7549299 11372077 16798851 31036007 34116231 93108021 102348693 279324063 420766849 693696697 1262300547 2081090091 3786901641 6243270273 25666777789 77000333367 231001000101