Search a number
-
+
3200003131302 = 23283117112011523
BaseRepresentation
bin101110100100001111000…
…011001100011110100110
3102022220202201110001021200
4232210033003030132212
5404412101300200202
610450021112423330
7450123026552205
oct56441703143646
912286681401250
103200003131302
11102412838652a
124382226a7b46
131a29b36a7403
14b0c4959123c
155838d0d5e1c
hex2e90f0cc7a6

3200003131302 has 96 divisors (see below), whose sum is σ = 7033329104256. Its totient is φ = 1051348896000.

The previous prime is 3200003131271. The next prime is 3200003131319. The reversal of 3200003131302 is 2031313000023.

3200003131302 is a `hidden beast` number, since 320 + 0 + 0 + 0 + 31 + 313 + 0 + 2 = 666.

3200003131302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101117513 + ... + 2101119035.

It is an arithmetic number, because the mean of its divisors is an integer number (73263844836).

Almost surely, 23200003131302 is an apocalyptic number.

3200003131302 is an abundant number, since it is smaller than the sum of its proper divisors (3833325972954).

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

3200003131302 is a wasteful number, since it uses less digits than its factorization.

3200003131302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3983 counting only the distinct ones).

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

Adding to 3200003131302 its reverse (2031313000023), we get a palindrome (5231316131325).

The spelling of 3200003131302 in words is "three trillion, two hundred billion, three million, one hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1171 1201 1494 1523 2342 2402 3046 3513 3603 4569 7026 7206 9138 10539 10809 13707 21078 21618 27414 97193 99683 126409 194386 199366 252818 291579 299049 379227 583158 598098 758454 874737 897147 1137681 1406371 1749474 1783433 1794294 1829123 2275362 2812742 3566866 3658246 4219113 5350299 5487369 8438226 10700598 10974738 12657339 16050897 16462107 25314678 32101794 32924214 116728793 148024939 151817209 233457586 296049878 303634418 350186379 444074817 455451627 700372758 888149634 910903254 1050559137 1332224451 1366354881 2101118274 2141903033 2664448902 2732709762 4283806066 6425709099 12851418198 19277127297 38554254594 177777951739 355555903478 533333855217 1066667710434 1600001565651 3200003131302