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20125320400 = 2452131433887
BaseRepresentation
bin10010101111100100…
…000000010011010000
31220221120100012112001
4102233210000103100
5312204040223100
613125003243344
71311503254333
oct225744002320
956846305461
1020125320400
1185982450a9
123a97b19554
131b89645413
14d8cbc861a
157cbc72d6a
hex4af9004d0

20125320400 has 120 divisors (see below), whose sum is σ = 48887745984. Its totient is φ = 7961241600.

The previous prime is 20125320377. The next prime is 20125320421. The reversal of 20125320400 is 402352102.

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, 22688757 + ... + 22689643.

Almost surely, 220125320400 is an apocalyptic number.

20125320400 is a gapful number since it is divisible by the number (20) 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 20125320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24443872992).

20125320400 is an abundant number, since it is smaller than the sum of its proper divisors (28762425584).

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

20125320400 is a wasteful number, since it uses less digits than its factorization.

20125320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 20125320400 its reverse (402352102), we get a palindrome (20527672502).

The spelling of 20125320400 in words is "twenty billion, one hundred twenty-five million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 400 433 524 655 866 887 1048 1310 1732 1774 2096 2165 2620 3275 3464 3548 4330 4435 5240 6550 6928 7096 8660 8870 10480 10825 13100 14192 17320 17740 21650 22175 26200 34640 35480 43300 44350 52400 56723 70960 86600 88700 113446 116197 173200 177400 226892 232394 283615 354800 384071 453784 464788 567230 580985 768142 907568 929576 1134460 1161970 1418075 1536284 1859152 1920355 2268920 2323940 2836150 2904925 3072568 3840710 4537840 4647880 5672300 5809850 6145136 7681420 9295760 9601775 11344600 11619700 15362840 19203550 22689200 23239400 30725680 38407100 46478800 50313301 76814200 100626602 153628400 201253204 251566505 402506408 503133010 805012816 1006266020 1257832525 2012532040 2515665050 4025064080 5031330100 10062660200 20125320400