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10400231310 = 2357232937349
BaseRepresentation
bin10011010111110011…
…01110111110001110
3222211210212111021020
421223321232332032
5132244424400220
64440001015010
7515504336040
oct115371567616
928753774236
1010400231310
114457728797
122023024466
13c998b0131
14709387a90
1540d0ba040
hex26be6ef8e

10400231310 has 128 divisors (see below), whose sum is σ = 29872281600. Its totient is φ = 2265770496.

The previous prime is 10400231273. The next prime is 10400231351. The reversal of 10400231310 is 1313200401.

It is a super-2 number, since 2×104002313102 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400231310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1411516 + ... + 1418864.

It is an arithmetic number, because the mean of its divisors is an integer number (233377200).

Almost surely, 210400231310 is an apocalyptic number.

10400231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936140800).

10400231310 is an abundant number, since it is smaller than the sum of its proper divisors (19472050290).

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

10400231310 is a wasteful number, since it uses less digits than its factorization.

10400231310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400231310 its reverse (1313200401), we get a palindrome (11713431711).

The spelling of 10400231310 in words is "ten billion, four hundred million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 293 322 345 483 586 690 805 879 966 1465 1610 1758 2051 2415 2930 4102 4395 4830 6153 6739 7349 8790 10255 12306 13478 14698 20217 20510 22047 30765 33695 36745 40434 44094 47173 51443 61530 67390 73490 94346 101085 102886 110235 141519 154329 169027 202170 220470 235865 257215 283038 308658 338054 471730 507081 514430 707595 771645 845135 1014162 1183189 1415190 1543290 1690270 2153257 2366378 2535405 3549567 4306514 5070810 5915945 6459771 7099134 10766285 11831890 12919542 15072799 17747835 21532570 30145598 32298855 35495670 45218397 49524911 64597710 75363995 90436794 99049822 148574733 150727990 226091985 247624555 297149466 346674377 452183970 495249110 693348754 742873665 1040023131 1485747330 1733371885 2080046262 3466743770 5200115655 10400231310