Search a number
-
+
102132231122130 = 235111013064273361
BaseRepresentation
bin10111001110001110000011…
…010110110010110011010010
3111101121202010210100101001120
4113032032003112302303102
5101341313302131402010
61001114522123343110
730340544616505026
oct2716160326626322
9441552123311046
10102132231122130
112a5a7043983180
12b555ab1681a96
1344cb04988c141
141b313251ca386
15bc1a61428e70
hex5ce3835b2cd2

102132231122130 has 64 divisors (see below), whose sum is σ = 270048282846336. Its totient is φ = 24514186880000.

The previous prime is 102132231122093. The next prime is 102132231122167. The reversal of 102132231122130 is 31221132231201.

It is an interprime number because it is at equal distance from previous prime (102132231122093) and next prime (102132231122167).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102132231122130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532103351 + ... + 1532170010.

It is an arithmetic number, because the mean of its divisors is an integer number (4219504419474).

Almost surely, 2102132231122130 is an apocalyptic number.

102132231122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132231122130 is an abundant number, since it is smaller than the sum of its proper divisors (167916051724206).

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

102132231122130 is a wasteful number, since it uses less digits than its factorization.

102132231122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064273483.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102132231122130 its reverse (31221132231201), we get a palindrome (133353363353331).

The spelling of 102132231122130 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 3064273361 6128546722 9192820083 15321366805 18385640166 30642733610 33707006971 45964100415 67414013942 91928200830 101121020913 168535034855 202242041826 309491609461 337070069710 505605104565 618983218922 928474828383 1011210209130 1547458047305 1856949656766 3094916094610 3404407704071 4642374141915 6808815408142 9284748283830 10213223112213 17022038520355 20426446224426 34044077040710 51066115561065 102132231122130