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10403202012 = 2237197191807
BaseRepresentation
bin10011011000001010…
…00100001111011100
3222212000110102022020
421230011010033130
5132301204431022
64440144420140
7515541521010
oct115405041734
928760412266
1010403202012
114459377715
122024017650
13c9a3b0348
1470991c540
1540d4a535c
hex26c1443dc

10403202012 has 96 divisors (see below), whose sum is σ = 29613588480. Its totient is φ = 2776213440.

The previous prime is 10403202011. The next prime is 10403202023. The reversal of 10403202012 is 21020230401.

It is a super-2 number, since 2×104032020122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10403201982 and 10403202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403202011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67413 + ... + 159219.

It is an arithmetic number, because the mean of its divisors is an integer number (308474880).

Almost surely, 210403202012 is an apocalyptic number.

10403202012 is a gapful number since it is divisible by the number (12) 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 10403202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806794240).

10403202012 is an abundant number, since it is smaller than the sum of its proper divisors (19210386468).

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

10403202012 is a wasteful number, since it uses less digits than its factorization.

10403202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91911 (or 91909 counting only the distinct ones).

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

Adding to 10403202012 its reverse (21020230401), we get a palindrome (31423432413).

The spelling of 10403202012 in words is "ten billion, four hundred three million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 71 76 84 114 133 142 213 228 266 284 399 426 497 532 798 852 994 1349 1491 1596 1988 2698 2982 4047 5396 5964 8094 9443 16188 18886 28329 37772 56658 91807 113316 183614 275421 367228 550842 642649 1101684 1285298 1744333 1927947 2570596 3488666 3855894 5232999 6518297 6977332 7711788 10465998 12210331 13036594 19554891 20931996 24420662 26073188 36630993 39109782 45628079 48841324 73261986 78219564 91256158 123847643 136884237 146523972 182512316 247695286 273768474 371542929 495390572 547536948 743085858 866933501 1486171716 1733867002 2600800503 3467734004 5201601006 10403202012