Search a number
-
+
100122100102112 = 25111571811705633
BaseRepresentation
bin10110110000111101111110…
…001101011111001111100000
3111010111120122022012101021212
4112300331332031133033200
5101110400030111231422
6552535242515405252
730042403655655314
oct2660757615371740
9433446568171255
10100122100102112
11299a15a936a080
12b2904008b3828
1343b362045578a
141aa1d1502db44
15b89613d0c9e2
hex5b0f7e35f3e0

100122100102112 has 48 divisors (see below), whose sum is σ = 216404614570032. Its totient is φ = 45220172574720.

The previous prime is 100122100102109. The next prime is 100122100102121. The reversal of 100122100102112 is 211201001221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905797553 + ... + 905908080.

It is an arithmetic number, because the mean of its divisors is an integer number (4508429470209).

Almost surely, 2100122100102112 is an apocalyptic number.

It is an amenable number.

100122100102112 is an abundant number, since it is smaller than the sum of its proper divisors (116282514467920).

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

100122100102112 is a wasteful number, since it uses less digits than its factorization.

100122100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811705811 (or 1811705803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122100102112 its reverse (211201001221001), we get a palindrome (311323101323113).

The spelling of 100122100102112 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2512 3454 5024 6908 13816 27632 55264 1811705633 3623411266 7246822532 14493645064 19928761963 28987290128 39857523926 57974580256 79715047852 159430095704 284437784381 318860191408 568875568762 637720382816 1137751137524 2275502275048 3128815628191 4551004550096 6257631256382 9102009100192 12515262512764 25030525025528 50061050051056 100122100102112