Search a number
-
+
2131995229452 = 22331153223151841
BaseRepresentation
bin11111000001100100110…
…100010111110100001100
321112211001102011020212000
4133001210310113310030
5234412311234320302
64311231452512300
7310013554304634
oct37014464276414
97484042136760
102131995229452
117521a07a9380
122a5240a7b690
1312607a902a3a
1475290d316c4
153a6d10b031c
hex1f064d17d0c

2131995229452 has 192 divisors, whose sum is σ = 6171247595520. Its totient is φ = 631022745600.

The previous prime is 2131995229447. The next prime is 2131995229459. The reversal of 2131995229452 is 2549225991312.

2131995229452 is a `hidden beast` number, since 2 + 1 + 31 + 99 + 52 + 29 + 452 = 666.

It is a super-2 number, since 2×21319952294522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2131995229459) 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, 13965052 + ... + 14116892.

It is an arithmetic number, because the mean of its divisors is an integer number (32141914560).

Almost surely, 22131995229452 is an apocalyptic number.

2131995229452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131995229452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085623797760).

2131995229452 is an abundant number, since it is smaller than the sum of its proper divisors (4039252366068).

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

2131995229452 is a wasteful number, since it uses less digits than its factorization.

2131995229452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152141 (or 152133 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 2131995229452 in words is "two trillion, one hundred thirty-one billion, nine hundred ninety-five million, two hundred twenty-nine thousand, four hundred fifty-two".