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1021316004 = 2232171799323
BaseRepresentation
bin111100111000000…
…000101110100100
32122011210020011200
4330320000232210
54042424103004
6245202202500
734211020452
oct7470005644
92564706150
101021316004
11484562915
12246053430
131337915c7
14998d99d2
155e9e2239
hex3ce00ba4

1021316004 has 72 divisors (see below), whose sum is σ = 2749088160. Its totient is φ = 318588672.

The previous prime is 1021316003. The next prime is 1021316011. The reversal of 1021316004 is 4006131201.

It is a happy number.

1021316004 is a `hidden beast` number, since 10 + 21 + 31 + 600 + 4 = 666.

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 (1021316003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104887 + ... + 114209.

It is an arithmetic number, because the mean of its divisors is an integer number (38181780).

Almost surely, 21021316004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021316004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374544080).

1021316004 is an abundant number, since it is smaller than the sum of its proper divisors (1727772156).

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

1021316004 is a wasteful number, since it uses less digits than its factorization.

1021316004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9524 counting only the distinct ones).

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

The square root of 1021316004 is about 31958.0350459787. The cubic root of 1021316004 is about 1007.0554383845.

Adding to 1021316004 its reverse (4006131201), we get a palindrome (5027447205).

The spelling of 1021316004 in words is "one billion, twenty-one million, three hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 179 204 306 358 537 612 716 1074 1611 2148 3043 3222 6086 6444 9129 9323 12172 18258 18646 27387 27969 36516 37292 54774 55938 83907 109548 111876 158491 167814 316982 335628 475473 633964 950946 1426419 1668817 1901892 2852838 3337634 5006451 5705676 6675268 10012902 15019353 20025804 28369889 30038706 56739778 60077412 85109667 113479556 170219334 255329001 340438668 510658002 1021316004