Search a number
-
+
3331103200020 = 22325171088595817
BaseRepresentation
bin110000011110010101001…
…110010001001100010100
3102210110011022100120111100
4300132111032101030110
5414034044404400040
611030142050110100
7462443562010041
oct60362516211424
912713138316440
103331103200020
111074792a07562
1245970b87b330
131b2177454c7b
14b7324bb61c8
155b9b27e5b30
hex30795391314

3331103200020 has 72 divisors (see below), whose sum is σ = 10698719699304. Its totient is φ = 836041586688.

The previous prime is 3331103199979. The next prime is 3331103200039. The reversal of 3331103200020 is 200023011333.

3331103200020 is a `hidden beast` number, since 3 + 331 + 10 + 320 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368422292484 + 2962680907536 = 606978^2 + 1721244^2 .

It is a super-2 number, since 2×33311032000202 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3331103199966 and 3331103200002.

It is a congruent number.

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, 544294849 + ... + 544300968.

It is an arithmetic number, because the mean of its divisors is an integer number (148593329157).

Almost surely, 23331103200020 is an apocalyptic number.

3331103200020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331103200020 is an abundant number, since it is smaller than the sum of its proper divisors (7367616499284).

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

3331103200020 is a wasteful number, since it uses less digits than its factorization.

3331103200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088595849 (or 1088595844 counting only the distinct ones).

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

Adding to 3331103200020 its reverse (200023011333), we get a palindrome (3531126211353).

The spelling of 3331103200020 in words is "three trillion, three hundred thirty-one billion, one hundred three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 1088595817 2177191634 3265787451 4354383268 5442979085 6531574902 9797362353 10885958170 13063149804 16328937255 18506128889 19594724706 21771916340 32657874510 37012257778 39189449412 48986811765 55518386667 65315749020 74024515556 92530644445 97973623530 111036773334 166555160001 185061288890 195947247060 222073546668 277591933335 333110320002 370122577780 555183866670 666220640004 832775800005 1110367733340 1665551600010 3331103200020