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10310201400 = 23352104916381
BaseRepresentation
bin10011001101000100…
…10011000000111000
3222121112110111110010
421212202103000320
5132103402421100
64423023221520
7513332160132
oct114642230070
928545414403
1010310201400
114410926a04
121bb8a478a0
13c8404a6b5
146db430052
15405234750
hex266893038

10310201400 has 96 divisors (see below), whose sum is σ = 31994046000. Its totient is φ = 2746598400.

The previous prime is 10310201399. The next prime is 10310201413. The reversal of 10310201400 is 410201301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 621210 + ... + 637590.

Almost surely, 210310201400 is an apocalyptic number.

10310201400 is a gapful number since it is divisible by the number (10) 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 10310201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15997023000).

10310201400 is an abundant number, since it is smaller than the sum of its proper divisors (21683844600).

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

10310201400 is a wasteful number, since it uses less digits than its factorization.

10310201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17449 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10310201400 its reverse (410201301), we get a palindrome (10720402701).

Subtracting from 10310201400 its reverse (410201301), we obtain a palindrome (9900000099).

The spelling of 10310201400 in words is "ten billion, three hundred ten million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1049 2098 3147 4196 5245 6294 8392 10490 12588 15735 16381 20980 25176 26225 31470 32762 41960 49143 52450 62940 65524 78675 81905 98286 104900 125880 131048 157350 163810 196572 209800 245715 314700 327620 393144 409525 491430 629400 655240 819050 982860 1228575 1638100 1965720 2457150 3276200 4914300 9828600 17183669 34367338 51551007 68734676 85918345 103102014 137469352 171836690 206204028 257755035 343673380 412408056 429591725 515510070 687346760 859183450 1031020140 1288775175 1718366900 2062040280 2577550350 3436733800 5155100700 10310201400