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20501131400 = 23525311631663
BaseRepresentation
bin10011000101111101…
…100111000010001000
31221220202111101021222
4103011331213002020
5313441242201100
613230150221212
71324015512251
oct230575470210
957822441258
1020501131400
118770399502
123b81954808
131c194679a9
14dc6a93b28
157eec59485
hex4c5f67088

20501131400 has 96 divisors (see below), whose sum is σ = 48635458560. Its totient is φ = 8033975040.

The previous prime is 20501131379. The next prime is 20501131411. The reversal of 20501131400 is 413110502.

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, 12326969 + ... + 12328631.

It is an arithmetic number, because the mean of its divisors is an integer number (506619360).

Almost surely, 220501131400 is an apocalyptic number.

20501131400 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 20501131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24317729280).

20501131400 is an abundant number, since it is smaller than the sum of its proper divisors (28134327160).

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

20501131400 is a wasteful number, since it uses less digits than its factorization.

20501131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 20501131400 its reverse (413110502), we get a palindrome (20914241902).

The spelling of 20501131400 in words is "twenty billion, five hundred one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1163 1325 1663 2120 2326 2650 3326 4652 5300 5815 6652 8315 9304 10600 11630 13304 16630 23260 29075 33260 41575 46520 58150 61639 66520 83150 88139 116300 123278 166300 176278 232600 246556 308195 332600 352556 440695 493112 616390 705112 881390 1232780 1540975 1762780 1934069 2203475 2465560 3081950 3525560 3868138 4406950 6163900 7736276 8813900 9670345 12327800 15472552 17627800 19340690 38681380 48351725 77362760 96703450 102505657 193406900 205011314 386813800 410022628 512528285 820045256 1025056570 2050113140 2562641425 4100226280 5125282850 10250565700 20501131400