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102013202120 = 235127151132989
BaseRepresentation
bin101111100000001110…
…1011110111011001000
3100202022110211121101012
41133000131132323020
53132410334431440
6114510400543052
710240660624304
oct1370035367310
9322273747335
10102013202120
113a29987a705
1217930021a88
139809929cbb
144d1a594d04
1529c0d58e65
hex17c075eec8

102013202120 has 64 divisors (see below), whose sum is σ = 232870809600. Its totient is φ = 40215571200.

The previous prime is 102013202117. The next prime is 102013202143. The reversal of 102013202120 is 21202310201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102013202095 and 102013202104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700586 + ... + 833574.

It is an arithmetic number, because the mean of its divisors is an integer number (3638606400).

Almost surely, 2102013202120 is an apocalyptic number.

102013202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013202120 is an abundant number, since it is smaller than the sum of its proper divisors (130857607480).

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

102013202120 is a wasteful number, since it uses less digits than its factorization.

102013202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133278 (or 133274 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102013202120 its reverse (21202310201), we get a palindrome (123215512321).

The spelling of 102013202120 in words is "one hundred two billion, thirteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 151 254 302 508 604 635 755 1016 1208 1270 1510 2540 3020 5080 6040 19177 38354 76708 95885 132989 153416 191770 265978 383540 531956 664945 767080 1063912 1329890 2659780 5319560 16889603 20081339 33779206 40162678 67558412 80325356 84448015 100406695 135116824 160650712 168896030 200813390 337792060 401626780 675584120 803253560 2550330053 5100660106 10201320212 12751650265 20402640424 25503300530 51006601060 102013202120