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103213000120 = 2353836737141
BaseRepresentation
bin110000000011111111…
…0010110010110111000
3100212102002110122211011
41200013332112112320
53142340012000440
6115225420443304
710312500011536
oct1400776262670
9325362418734
10103213000120
113a8550586aa
12180059a9534
13996b380549
144dd1a71156
152a413549ea
hex1807f965b8

103213000120 has 32 divisors (see below), whose sum is σ = 232835627520. Its totient is φ = 41177399680.

The previous prime is 103213000073. The next prime is 103213000169. The reversal of 103213000120 is 21000312301.

It is a super-2 number, since 2×1032130001202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103213000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3353251 + ... + 3383890.

It is an arithmetic number, because the mean of its divisors is an integer number (7276113360).

Almost surely, 2103213000120 is an apocalyptic number.

103213000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213000120 is an abundant number, since it is smaller than the sum of its proper divisors (129622627400).

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

103213000120 is a wasteful number, since it uses less digits than its factorization.

103213000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737535 (or 6737531 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103213000120 its reverse (21000312301), we get a palindrome (124213312421).

The spelling of 103213000120 in words is "one hundred three billion, two hundred thirteen million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1915 3064 3830 7660 15320 6737141 13474282 26948564 33685705 53897128 67371410 134742820 269485640 2580325003 5160650006 10321300012 12901625015 20642600024 25803250030 51606500060 103213000120