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425252101300 = 2252132137153073
BaseRepresentation
bin1100011000000110000…
…00000001110010110100
31111122122112212000202221
412030003000001302310
523431404014220200
6523205204212124
742503100135415
oct6140300016264
91448575760687
10425252101300
111543917a7904
126a50009a044
1331141171810
1416821c1180c
15b0dd7b791a
hex6303001cb4

425252101300 has 72 divisors (see below), whose sum is σ = 994252980056. Its totient is φ = 156941660160.

The previous prime is 425252101291. The next prime is 425252101333. The reversal of 425252101300 is 3101252524.

It can be written as a sum of positive squares in 12 ways, for example, as 363587292324 + 61664808976 = 602982^2 + 248324^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2701564 + ... + 2854636.

Almost surely, 2425252101300 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 425252101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497126490028).

425252101300 is an abundant number, since it is smaller than the sum of its proper divisors (569000878756).

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

425252101300 is a wasteful number, since it uses less digits than its factorization.

425252101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155237 (or 155230 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 425252101300 its reverse (3101252524), we get a palindrome (428353353824).

The spelling of 425252101300 in words is "four hundred twenty-five billion, two hundred fifty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2137 4274 8548 10685 21370 27781 42740 53425 55562 106850 111124 138905 153073 213700 277810 306146 555620 612292 694525 765365 1389050 1530730 1989949 2778100 3061460 3826825 3979898 7653650 7959796 9949745 15307300 19899490 39798980 49748725 99497450 198994900 327117001 654234002 1308468004 1635585005 3271170010 4252521013 6542340020 8177925025 8505042026 16355850050 17010084052 21262605065 32711700100 42525210130 85050420260 106313025325 212626050650 425252101300