Search a number
-
+
102367100522037 = 3132624797449283
BaseRepresentation
bin10111010001101000110010…
…101010011100111000110101
3111102110012101020120002211210
4113101220302222130320311
5101404140310213201122
61001414444033552033
730363531115455051
oct2721506252347065
9442405336502753
10102367100522037
112a6877095a364a
12b59351aa15619
13451723a036310
141b3c8462dcc61
15bc7c0ac3240c
hex5d1a32a9ce35

102367100522037 has 8 divisors (see below), whose sum is σ = 146988657159904. Its totient is φ = 62995138782768.

The previous prime is 102367100522021. The next prime is 102367100522053. The reversal of 102367100522037 is 730225001763201.

It is an interprime number because it is at equal distance from previous prime (102367100522021) and next prime (102367100522053).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102367100522037 - 24 = 102367100522021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 2624797449283 = 102367100522037 / (1 + 0 + 2 + 3 + 6 + 7 + 1 + 0 + 0 + 5 + 2 + 2 + 0 + 3 + 7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102367100521986 and 102367100522004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102367100522017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312398724603 + ... + 1312398724680.

It is an arithmetic number, because the mean of its divisors is an integer number (18373582144988).

Almost surely, 2102367100522037 is an apocalyptic number.

It is an amenable number.

102367100522037 is a deficient number, since it is larger than the sum of its proper divisors (44621556637867).

102367100522037 is a wasteful number, since it uses less digits than its factorization.

102367100522037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624797449299.

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 102367100522037 in words is "one hundred two trillion, three hundred sixty-seven billion, one hundred million, five hundred twenty-two thousand, thirty-seven".

Divisors: 1 3 13 39 2624797449283 7874392347849 34122366840679 102367100522037