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10300241400 = 2335241418709
BaseRepresentation
bin10011001011111000…
…10011010111111000
3222120211201110220020
421211330103113320
5132043330211100
64422025530440
7513151415211
oct114574232770
928524643806
1010300241400
1144062438a9
121bb5643a20
13c81c710c7
146d9d9a408
154044185a0
hex265f135f8

10300241400 has 96 divisors (see below), whose sum is σ = 32709625200. Its totient is φ = 2679731200.

The previous prime is 10300241389. The next prime is 10300241423. The reversal of 10300241400 is 414200301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10300241400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184755 + ... + 233954.

Almost surely, 210300241400 is an apocalyptic number.

10300241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300241400 is an abundant number, since it is smaller than the sum of its proper divisors (22409383800).

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

10300241400 is a wasteful number, since it uses less digits than its factorization.

10300241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418769 (or 418760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10300241400 its reverse (414200301), we get a palindrome (10714441701).

The spelling of 10300241400 in words is "ten billion, three hundred million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 418709 837418 1256127 1674836 2093545 2512254 3349672 4187090 5024508 6280635 8374180 10049016 10467725 12561270 16748360 17167069 20935450 25122540 31403175 34334138 41870900 50245080 51501207 62806350 68668276 83741800 85835345 103002414 125612700 137336552 171670690 206004828 251225400 257506035 343341380 412009656 429176725 515012070 686682760 858353450 1030024140 1287530175 1716706900 2060048280 2575060350 3433413800 5150120700 10300241400