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10403131032 = 2332731665843
BaseRepresentation
bin10011011000001001…
…10010111010011000
3222212000022210221100
421230010302322120
5132301200143112
64440143111400
7515541104040
oct115404627230
928760283840
1010403131032
114459329358
122023ba2560
13c9a386c48
14709900720
1540d48e2dc
hex26c132e98

10403131032 has 96 divisors (see below), whose sum is σ = 33238932480. Its totient is φ = 2876437440.

The previous prime is 10403131003. The next prime is 10403131051. The reversal of 10403131032 is 23013130401.

It is a super-2 number, since 2×104031310322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10403130996 and 10403131014.

It is a congruent number.

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, 317298 + ... + 348545.

It is an arithmetic number, because the mean of its divisors is an integer number (346238880).

Almost surely, 210403131032 is an apocalyptic number.

10403131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10403131032 is an abundant number, since it is smaller than the sum of its proper divisors (22835801448).

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

10403131032 is a wasteful number, since it uses less digits than its factorization.

10403131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665893 (or 665886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10403131032 its reverse (23013130401), we get a palindrome (33416261433).

The spelling of 10403131032 in words is "ten billion, four hundred three million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 665843 1331686 1997529 2663372 3995058 4660901 5326744 5992587 7990116 9321802 11985174 13982703 15980232 18643604 20641133 23970348 27965406 37287208 41282266 41948109 47940696 55930812 61923399 82564532 83896218 111861624 123846798 144487931 165129064 167792436 185770197 247693596 288975862 335584872 371540394 433463793 495387192 577951724 743080788 866927586 1155903448 1300391379 1486161576 1733855172 2600782758 3467710344 5201565516 10403131032