Search a number
-
+
1002331000332 = 2232371087692273
BaseRepresentation
bin11101001010111111001…
…01010100111000001100
310112211012011121111210200
432211133211110320030
5112410233214002312
62044244155533500
7132262460633244
oct16453745247014
93484164544720
101002331000332
113570a479aa52
1214231275a290
137369a1a608c
1436727c64b24
151b11620d0dc
hexe95f954e0c

1002331000332 has 72 divisors (see below), whose sum is σ = 2604545239296. Its totient is φ = 324780793344.

The previous prime is 1002331000331. The next prime is 1002331000361. The reversal of 1002331000332 is 2330001332001.

1002331000332 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 331 + 0 + 0 + 0 + 332 = 666.

It is a super-2 number, since 2×10023310003322 (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 not an unprimeable number, because it can be changed into a prime (1002331000331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101748 + ... + 1794020.

Almost surely, 21002331000332 is an apocalyptic number.

1002331000332 is a gapful number since it is divisible by the number (12) 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 1002331000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302272619648).

1002331000332 is an abundant number, since it is smaller than the sum of its proper divisors (1602214238964).

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

1002331000332 is a wasteful number, since it uses less digits than its factorization.

1002331000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693407 (or 693402 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1002331000332 its reverse (2330001332001), we get a palindrome (3332332332333).

The spelling of 1002331000332 in words is "one trillion, two billion, three hundred thirty-one million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1087 1332 2174 3261 4348 6522 9783 13044 19566 39132 40219 80438 120657 160876 241314 361971 482628 692273 723942 1384546 1447884 2076819 2769092 4153638 6230457 8307276 12460914 24921828 25614101 51228202 76842303 102456404 153684606 230526909 307369212 461053818 752500751 922107636 1505001502 2257502253 3010003004 4515004506 6772506759 9030009012 13545013518 27090027036 27842527787 55685055574 83527583361 111370111148 167055166722 250582750083 334110333444 501165500166 1002331000332