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402020101020204 = 2232101140978471671
BaseRepresentation
bin101101101101000101001100…
…1010100000101101000101100
31221201102202011001201121000200
41123122022121110011220230
5410143144131330121304
63543005252414353500
7150451664606166012
oct13332123124055054
91851382131647020
10402020101020204
11107106849424477
123910a2324bb890
1314342443399a04
14713bc3b9988b2
1531726eab7de39
hex16da299505a2c

402020101020204 has 72 divisors (see below), whose sum is σ = 1027007423900640. Its totient is φ = 132585733632000.

The previous prime is 402020101020179. The next prime is 402020101020217.

402020101020204 is a `hidden beast` number, since 402 + 0 + 20 + 10 + 10 + 20 + 204 = 666.

402020101020204 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34112712 + ... + 44358959.

It is an arithmetic number, because the mean of its divisors is an integer number (14263991998620).

Almost surely, 2402020101020204 is an apocalyptic number.

It is an amenable number.

402020101020204 is an abundant number, since it is smaller than the sum of its proper divisors (624987322880436).

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

402020101020204 is a wasteful number, since it uses less digits than its factorization.

402020101020204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78473191 (or 78473186 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 40202010 and 1020204, that added together give a palindrome (41222214).

The spelling of 402020101020204 in words is "four hundred two trillion, twenty billion, one hundred one million, twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1409 1818 2818 3636 4227 5636 8454 12681 16908 25362 50724 142309 284618 426927 569236 853854 1280781 1707708 2561562 5123124 78471671 156943342 235415013 313886684 470830026 706245039 941660052 1412490078 2824980156 7925638771 15851277542 23776916313 31702555084 47553832626 71330748939 95107665252 110566584439 142661497878 221133168878 285322995756 331699753317 442266337756 663399506634 995099259951 1326799013268 1990198519902 3980397039804 11167225028339 22334450056678 33501675085017 44668900113356 67003350170034 100505025255051 134006700340068 201010050510102 402020101020204