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10300321131400 = 23521021237721221
BaseRepresentation
bin1001010111100011101011…
…1110110110101110001000
31100110200221002102110001001
42111320322332312232020
52322230024202201100
633523522513104344
72112113363010046
oct225707276665610
940420832373031
1010300321131400
113311383828073
1211a43308580b4
135994156732c1
14278776b85396
1512ce058d6d6a
hex95e3afb6b88

10300321131400 has 96 divisors (see below), whose sum is σ = 23982917260680. Its totient is φ = 4114167552000.

The previous prime is 10300321131379. The next prime is 10300321131407. The reversal of 10300321131400 is 413112300301.

It can be written as a sum of positive squares in 12 ways, for example, as 2685580223076 + 7614740908324 = 1638774^2 + 2759482^2 .

It is not an unprimeable number, because it can be changed into a prime (10300321131407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485372790 + ... + 485394010.

Almost surely, 210300321131400 is an apocalyptic number.

10300321131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300321131400 is an abundant number, since it is smaller than the sum of its proper divisors (13682596129280).

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

10300321131400 is a wasteful number, since it uses less digits than its factorization.

10300321131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24635 (or 24626 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10300321131400 its reverse (413112300301), we get a palindrome (10713433431701).

The spelling of 10300321131400 in words is "ten trillion, three hundred billion, three hundred twenty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1021 2042 2377 4084 4754 5105 8168 9508 10210 11885 19016 20420 21221 23770 25525 40840 42442 47540 51050 59425 84884 95080 102100 106105 118850 169768 204200 212210 237700 424420 475400 530525 848840 1061050 2122100 2426917 4244200 4853834 9707668 12134585 19415336 21666641 24269170 43333282 48538340 50442317 60672925 86666564 97076680 100884634 108333205 121345850 173333128 201769268 216666410 242691700 252211585 403538536 433332820 485383400 504423170 541666025 866665640 1008846340 1083332050 1261057925 2017692680 2166664100 2522115850 4333328200 5044231700 10088463400 51501605657 103003211314 206006422628 257508028285 412012845256 515016056570 1030032113140 1287540141425 2060064226280 2575080282850 5150160565700 10300321131400