Search a number
-
+
2100122023131 = 331149924475791
BaseRepresentation
bin11110100011111001000…
…001101111010011011011
321102202210010002121111000
4132203321001233103123
5233402022214220011
64244441023240043
7304504660442106
oct36437101572333
97382703077430
102100122023131
1173a72514a750
1229b026749023
1312306b428842
1473909bd573d
1539967cbc356
hex1e8f906f4db

2100122023131 has 64 divisors (see below), whose sum is σ = 3402915840000. Its totient is φ = 1269512157600.

The previous prime is 2100122023099. The next prime is 2100122023157. The reversal of 2100122023131 is 1313202210012.

2100122023131 is a `hidden beast` number, since 210 + 0 + 1 + 220 + 231 + 3 + 1 = 666.

It is not a de Polignac number, because 2100122023131 - 25 = 2100122023099 is a prime.

It is a super-2 number, since 2×21001220231312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100122024131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362649846 + ... + 362655636.

It is an arithmetic number, because the mean of its divisors is an integer number (53170560000).

Almost surely, 22100122023131 is an apocalyptic number.

2100122023131 is a deficient number, since it is larger than the sum of its proper divisors (1302793816869).

2100122023131 is a wasteful number, since it uses less digits than its factorization.

2100122023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2100122023131 its reverse (1313202210012), we get a palindrome (3413324233143).

The spelling of 2100122023131 in words is "two trillion, one hundred billion, one hundred twenty-two million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 499 1497 2447 4491 5489 5791 7341 13473 16467 17373 22023 26917 49401 52119 63701 66069 80751 148203 156357 191103 242253 573309 726759 1221053 1719927 2889709 3663159 8669127 10989477 13431583 14170577 26007381 31786799 32968431 40294749 42511731 78022143 95360397 120884247 127535193 155876347 286081191 362652741 382605579 467629041 858243573 1402887123 4208661369 7071117923 21213353769 63640061307 77782297153 190920183921 233346891459 700040674377 2100122023131