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132425610200 = 235213183127817
BaseRepresentation
bin111101101010100101…
…1100111001111011000
3110122210222011000021122
41323111023213033120
54132201424011300
6140500244224412
712365426054132
oct1732513471730
9418728130248
10132425610200
1151185893a64
12217b909b108
13c645589340
1465a36b4052
1536a0c97c85
hex1ed52e73d8

132425610200 has 96 divisors (see below), whose sum is σ = 331766369760. Its totient is φ = 48867148800.

The previous prime is 132425610199. The next prime is 132425610217. The reversal of 132425610200 is 2016524231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 132425610200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746692 + ... + 4774508.

It is an arithmetic number, because the mean of its divisors is an integer number (3455899685).

Almost surely, 2132425610200 is an apocalyptic number.

132425610200 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 132425610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165883184880).

132425610200 is an abundant number, since it is smaller than the sum of its proper divisors (199340759560).

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

132425610200 is a wasteful number, since it uses less digits than its factorization.

132425610200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29677 (or 29668 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 132425610200 in words is "one hundred thirty-two billion, four hundred twenty-five million, six hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1831 2600 3662 7324 9155 14648 18310 23803 27817 36620 45775 47606 55634 73240 91550 95212 111268 119015 139085 183100 190424 222536 238030 278170 361621 366200 476060 556340 595075 695425 723242 952120 1112680 1190150 1390850 1446484 1808105 2380300 2781700 2892968 3616210 4760600 5563400 7232420 9040525 14464840 18081050 36162100 50932927 72324200 101865854 203731708 254664635 407463416 509329270 662128051 1018658540 1273323175 1324256102 2037317080 2546646350 2648512204 3310640255 5093292700 5297024408 6621280510 10186585400 13242561020 16553201275 26485122040 33106402550 66212805100 132425610200