Search a number
-
+
10000012332100 = 2252770991201233
BaseRepresentation
bin1001000110000100111100…
…1011101100110001000100
31022101222210001102210021211
42101201033023230301010
52302320011124111400
633133535305221204
72051322425226040
oct221411713546104
938358701383254
1010000012332100
113205a8829733a
12115609ba91804
13576cc688571b
14268008a1d020
151251cb07bdba
hex9184f2ecc44

10000012332100 has 72 divisors (see below), whose sum is σ = 24800503166208. Its totient is φ = 3428510323200.

The previous prime is 10000012332083. The next prime is 10000012332133. The reversal of 10000012332100 is 123321000001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49593084 + ... + 49794316.

It is an arithmetic number, because the mean of its divisors is an integer number (344451432864).

Almost surely, 210000012332100 is an apocalyptic number.

10000012332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000012332100 is an abundant number, since it is smaller than the sum of its proper divisors (14800490834108).

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

10000012332100 is a wasteful number, since it uses less digits than its factorization.

10000012332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272245 (or 272238 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10000012332100 its reverse (123321000001), we get a palindrome (10123333332101).

The spelling of 10000012332100 in words is "ten trillion, twelve million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 70991 141982 201233 283964 354955 402466 496937 709910 804932 993874 1006165 1408631 1419820 1774775 1987748 2012330 2484685 2817262 3549550 4024660 4969370 5030825 5634524 7043155 7099100 9938740 10061650 12423425 14086310 20123300 24846850 28172620 35215775 49693700 70431550 140863100 14285731903 28571463806 57142927612 71428659515 100000123321 142857319030 200000246642 285714638060 357143297575 400000493284 500000616605 714286595150 1000001233210 1428573190300 2000002466420 2500003083025 5000006166050 10000012332100