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304160190100 = 2252131901123077
BaseRepresentation
bin1000110110100010101…
…11000010111010010100
31002002002110001120200221
410123101113002322110
514440410002040400
6351421304244124
730655241646424
oct4332127027224
91062073046627
10304160190100
11107aa2552738
124ab46770644
13228b39a9460
1410a15874484
157da2a27c1a
hex46d15c2e94

304160190100 has 72 divisors (see below), whose sum is σ = 711178653528. Its totient is φ = 112245312000.

The previous prime is 304160190097. The next prime is 304160190107. The reversal of 304160190100 is 1091061403.

It can be written as a sum of positive squares in 12 ways, for example, as 218842453636 + 85317736464 = 467806^2 + 292092^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304160190107) 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, 2409762 + ... + 2532838.

It is an arithmetic number, because the mean of its divisors is an integer number (9877481299).

Almost surely, 2304160190100 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 304160190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355589326764).

304160190100 is an abundant number, since it is smaller than the sum of its proper divisors (407018463428).

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

304160190100 is a wasteful number, since it uses less digits than its factorization.

304160190100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125005 (or 124998 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 304160190100 in words is "three hundred four billion, one hundred sixty million, one hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1901 3802 7604 9505 19010 24713 38020 47525 49426 95050 98852 123077 123565 190100 246154 247130 492308 494260 615385 617825 1230770 1235650 1600001 2461540 2471300 3076925 3200002 6153850 6400004 8000005 12307700 16000010 32000020 40000025 80000050 160000100 233969377 467938754 935877508 1169846885 2339693770 3041601901 4679387540 5849234425 6083203802 11698468850 12166407604 15208009505 23396937700 30416019010 60832038020 76040047525 152080095050 304160190100