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102119300 = 22521971757
BaseRepresentation
bin1100001011000…
…11011110000100
321010011012100022
412011203132010
5202120304200
614044434312
72346666623
oct605433604
9233135308
10102119300
1152709818
122a248998
131820632a
14d7c36ba
158e72885
hex6163784

102119300 has 72 divisors (see below), whose sum is σ = 236859840. Its totient is φ = 38102400.

The previous prime is 102119291. The next prime is 102119309. The reversal of 102119300 is 3911201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102119291) and next prime (102119309).

It is not an unprimeable number, because it can be changed into a prime (102119309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134522 + ... + 135278.

It is an arithmetic number, because the mean of its divisors is an integer number (3289720).

Almost surely, 2102119300 is an apocalyptic number.

102119300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102119300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118429920).

102119300 is an abundant number, since it is smaller than the sum of its proper divisors (134740540).

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

102119300 is a wasteful number, since it uses less digits than its factorization.

102119300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 102119300 is about 10105.4094424719. The cubic root of 102119300 is about 467.4149616074.

The spelling of 102119300 in words is "one hundred two million, one hundred nineteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 757 950 1349 1420 1514 1775 1900 2698 3028 3550 3785 5396 6745 7100 7570 13490 14383 15140 18925 26980 28766 33725 37850 53747 57532 67450 71915 75700 107494 134900 143830 214988 268735 287660 359575 537470 719150 1021193 1074940 1343675 1438300 2042386 2687350 4084772 5105965 5374700 10211930 20423860 25529825 51059650 102119300