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104033111220 = 223251849331253
BaseRepresentation
bin110000011100011011…
…0110100110010110100
3100221112020122121202100
41200320312310302310
53201024434024340
6115443034342100
710342015566153
oct1407066646264
9327466577670
10104033111220
1140135a85275
12181b458a930
139a6c25529c
14506c95359a
152a8d350830
hex1838db4cb4

104033111220 has 72 divisors (see below), whose sum is σ = 315594265896. Its totient is φ = 27739775232.

The previous prime is 104033111213. The next prime is 104033111263. The reversal of 104033111220 is 22111330401.

104033111220 is a `hidden beast` number, since 1 + 0 + 403 + 31 + 11 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11067881616 + 92965229604 = 105204^2 + 304902^2 .

It is a super-2 number, since 2×1040331112202 (a number of 23 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 = 104033111193 and 104033111202.

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, 3313114 + ... + 3344366.

It is an arithmetic number, because the mean of its divisors is an integer number (4383253693).

Almost surely, 2104033111220 is an apocalyptic number.

104033111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104033111220 is an abundant number, since it is smaller than the sum of its proper divisors (211561154676).

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

104033111220 is a wasteful number, since it uses less digits than its factorization.

104033111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49761 (or 49756 counting only the distinct ones).

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

Adding to 104033111220 its reverse (22111330401), we get a palindrome (126144441621).

The spelling of 104033111220 in words is "one hundred four billion, thirty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18493 31253 36986 55479 62506 73972 92465 93759 110958 125012 156265 166437 184930 187518 221916 277395 281277 312530 332874 369860 375036 468795 554790 562554 625060 665748 832185 937590 1109580 1125108 1406385 1664370 1875180 2812770 3328740 5625540 577961729 1155923458 1733885187 2311846916 2889808645 3467770374 5201655561 5779617290 6935540748 8669425935 10403311122 11559234580 17338851870 20806622244 26008277805 34677703740 52016555610 104033111220