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20300125344 = 253893796269
BaseRepresentation
bin10010111001111110…
…110101010010100000
31221101202021012211020
4102321332311102200
5313033313002334
613154210045440
71316025134622
oct227176652240
957352235736
1020300125344
1186779896a4
123b26579880
131bb691a7b5
14da80ccc12
157dc2a1e49
hex4b9fb54a0

20300125344 has 96 divisors (see below), whose sum is σ = 54037368000. Its totient is φ = 6671960064.

The previous prime is 20300125333. The next prime is 20300125387. The reversal of 20300125344 is 44352100302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×203001253442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235042 + ... + 3241310.

It is an arithmetic number, because the mean of its divisors is an integer number (562889250).

Almost surely, 220300125344 is an apocalyptic number.

20300125344 is a gapful number since it is divisible by the number (24) 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 20300125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27018684000).

20300125344 is an abundant number, since it is smaller than the sum of its proper divisors (33737242656).

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

20300125344 is a wasteful number, since it uses less digits than its factorization.

20300125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 20300125344 its reverse (44352100302), we get a palindrome (64652225646).

The spelling of 20300125344 in words is "twenty billion, three hundred million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 379 534 712 758 1068 1137 1424 1516 2136 2274 2848 3032 4272 4548 6064 6269 8544 9096 12128 12538 18192 18807 25076 33731 36384 37614 50152 67462 75228 100304 101193 134924 150456 200608 202386 269848 300912 404772 539696 557941 601824 809544 1079392 1115882 1619088 1673823 2231764 2375951 3238176 3347646 4463528 4751902 6695292 7127853 8927056 9503804 13390584 14255706 17854112 19007608 26781168 28511412 38015216 53562336 57022824 76030432 114045648 211459639 228091296 422919278 634378917 845838556 1268757834 1691677112 2537515668 3383354224 5075031336 6766708448 10150062672 20300125344