Search a number
-
+
102142131213210 = 23511309521609737
BaseRepresentation
bin10111001110010111010001…
…011100101001001110011010
3111101122200200202010002220120
4113032113101130221032122
5101341444041042310320
61001123240340534110
730341345142054234
oct2716272134511632
9441580622102816
10102142131213210
112a600264259130
12b5579b50b1336
1344cbc669683ba
141b319c3d83254
15bc1e4064e440
hex5ce5d172939a

102142131213210 has 32 divisors (see below), whose sum is σ = 267426670813632. Its totient is φ = 24761728778880.

The previous prime is 102142131213209. The next prime is 102142131213233. The reversal of 102142131213210 is 12312131241201.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154760804539 + ... + 154760805198.

It is an arithmetic number, because the mean of its divisors is an integer number (8357083462926).

Almost surely, 2102142131213210 is an apocalyptic number.

102142131213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102142131213210 is an abundant number, since it is smaller than the sum of its proper divisors (165284539600422).

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

102142131213210 is a wasteful number, since it uses less digits than its factorization.

102142131213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309521609758.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 102142131213210 its reverse (12312131241201), we get a palindrome (114454262454411).

The spelling of 102142131213210 in words is "one hundred two trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 309521609737 619043219474 928564829211 1547608048685 1857129658422 3095216097370 3404737707107 4642824146055 6809475414214 9285648292110 10214213121321 17023688535535 20428426242642 34047377071070 51071065606605 102142131213210