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3300010120404 = 223461172396907
BaseRepresentation
bin110000000001010111111…
…011100101010011010100
3102200110220101020110210000
4300001113323211103110
5413031410042323104
611004000445331300
7460263220130124
oct60012773452324
912613811213700
103300010120404
111062587755648
12453692866b30
131ac2607930ca
14b5a15510c84
155ac92c51639
hex30057ee54d4

3300010120404 has 120 divisors (see below), whose sum is σ = 8773482051488. Its totient is φ = 1081331415360.

The previous prime is 3300010120373. The next prime is 3300010120411. The reversal of 3300010120404 is 4040210100033.

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 39 ways as a sum of consecutive naturals, for example, 34004919 + ... + 34101825.

Almost surely, 23300010120404 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 3300010120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386741025744).

3300010120404 is an abundant number, since it is smaller than the sum of its proper divisors (5473471931084).

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

3300010120404 is a wasteful number, since it uses less digits than its factorization.

3300010120404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98707 (or 98696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3300010120404 its reverse (4040210100033), we get a palindrome (7340220220437).

The spelling of 3300010120404 in words is "three trillion, three hundred billion, ten million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 1723 2196 3294 3446 4941 5169 6588 6892 9882 10338 15507 19764 20676 31014 46521 62028 93042 96907 105103 139563 186084 193814 210206 279126 290721 315309 387628 420412 558252 581442 630618 872163 945927 1162884 1261236 1744326 1891854 2616489 2837781 3488652 3783708 5232978 5675562 5911327 7849467 8513343 10465956 11351124 11822654 15698934 17026686 17733981 23645308 31397868 34053372 35467962 53201943 70935924 106403886 159605829 166970761 212807772 319211658 333941522 478817487 500912283 638423316 667883044 957634974 1001824566 1502736849 1915269948 2003649132 3005473698 4508210547 6010947396 9016421094 10185216421 13524631641 18032842188 20370432842 27049263282 30555649263 40740865684 54098526564 61111298526 91666947789 122222597052 183333895578 275000843367 366667791156 550001686734 825002530101 1100003373468 1650005060202 3300010120404