Search a number
-
+
2030231001312 = 253225367277897
BaseRepresentation
bin11101100010110011001…
…100101001100011100000
321012002101021210211120100
4131202303030221203200
5231230403114020222
64152401504142400
7266452005530103
oct35426314514340
97162337724510
102030231001312
1171301a521598
12289580307a00
131195b0749427
147039986a73a
1537c270364ac
hex1d8b33298e0

2030231001312 has 72 divisors (see below), whose sum is σ = 5773717784016. Its totient is φ = 676714553856.

The previous prime is 2030231001229. The next prime is 2030231001349. The reversal of 2030231001312 is 2131001320302.

2030231001312 is a `hidden beast` number, since 20 + 302 + 31 + 0 + 0 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20302310013122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7166748 + ... + 7444644.

It is an arithmetic number, because the mean of its divisors is an integer number (80190524778).

Almost surely, 22030231001312 is an apocalyptic number.

It is an amenable number.

2030231001312 is an abundant number, since it is smaller than the sum of its proper divisors (3743486782704).

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

2030231001312 is a wasteful number, since it uses less digits than its factorization.

2030231001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303280 (or 303269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2030231001312 its reverse (2131001320302), we get a palindrome (4161232321614).

The spelling of 2030231001312 in words is "two trillion, thirty billion, two hundred thirty-one million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 25367 50734 76101 101468 152202 202936 228303 277897 304404 405872 456606 555794 608808 811744 833691 913212 1111588 1217616 1667382 1826424 2223176 2435232 2501073 3334764 3652848 4446352 5002146 6669528 7305696 8892704 10004292 13339056 20008584 26678112 40017168 80034336 7049413199 14098826398 21148239597 28197652796 42296479194 56395305592 63444718791 84592958388 112790611184 126889437582 169185916776 225581222368 253778875164 338371833552 507557750328 676743667104 1015115500656 2030231001312