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99313900 = 22527337421
BaseRepresentation
bin1011110101101…
…10100011101100
320220212200001121
411322312203230
5200411021100
613504350324
72314103620
oct572664354
9226780047
1099313900
1151073004
12293153a4
131776342a
14d293180
158abb51a
hex5eb68ec

99313900 has 72 divisors (see below), whose sum is σ = 247616096. Its totient is φ = 33868800.

The previous prime is 99313897. The next prime is 99313901. The reversal of 99313900 is 931399.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99313901) 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, 235690 + ... + 236110.

Almost surely, 299313900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99313900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123808048).

99313900 is an abundant number, since it is smaller than the sum of its proper divisors (148302196).

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

99313900 is a wasteful number, since it uses less digits than its factorization.

99313900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 34.

The square root of 99313900 is about 9965.6359556227. The cubic root of 99313900 is about 463.0949149766.

It can be divided in two parts, 9931 and 3900, that added together give a palindrome (13831).

The spelling of 99313900 in words is "ninety-nine million, three hundred thirteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 337 350 421 674 700 842 1348 1684 1685 2105 2359 2947 3370 4210 4718 5894 6740 8420 8425 9436 10525 11788 11795 14735 16850 21050 23590 29470 33700 42100 47180 58940 58975 73675 117950 141877 147350 235900 283754 294700 567508 709385 993139 1418770 1986278 2837540 3546925 3972556 4965695 7093850 9931390 14187700 19862780 24828475 49656950 99313900