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102204670684050 = 232521120647408219
BaseRepresentation
bin10111001111010001100001…
…000101110010101110010010
3111101212200010020011101202100
4113033101201011302232102
5101344010131143342200
61001212102202501230
730346021005563064
oct2717214105625622
9441780106141670
10102204670684050
112a624837149220
12b567b49504816
134504b2256474c
141b34a37bdd734
15bc38a0cc7d00
hex5cf461172b92

102204670684050 has 72 divisors (see below), whose sum is σ = 299552598455760. Its totient is φ = 24776889861600.

The previous prime is 102204670684019. The next prime is 102204670684091. The reversal of 102204670684050 is 50486076402201.

102204670684050 is a `hidden beast` number, since 10 + 220 + 4 + 6 + 7 + 0 + 6 + 8 + 405 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102204670683987 and 102204670684005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10323699160 + ... + 10323709059.

It is an arithmetic number, because the mean of its divisors is an integer number (4160452756330).

Almost surely, 2102204670684050 is an apocalyptic number.

102204670684050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102204670684050 is an abundant number, since it is smaller than the sum of its proper divisors (197347927771710).

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

102204670684050 is a wasteful number, since it uses less digits than its factorization.

102204670684050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647408248 (or 20647408240 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 102204670684050 in words is "one hundred two trillion, two hundred four billion, six hundred seventy million, six hundred eighty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 20647408219 41294816438 61942224657 103237041095 123884449314 185826673971 206474082190 227121490409 309711123285 371653347942 454242980818 516185205475 619422246570 681364471227 929133369855 1032370410950 1135607452045 1362728942454 1548555616425 1858266739710 2044093413681 2271214904090 3097111232850 3406822356135 4088186827362 4645666849275 5678037260225 6813644712270 9291333698550 10220467068405 11356074520450 17034111780675 20440934136810 34068223561350 51102335342025 102204670684050