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13122234020 = 2257317457647
BaseRepresentation
bin11000011100010010…
…10110011010100100
31020212111210120000102
430032021112122210
5203333242442040
610010035003232
7643116102020
oct141611263244
936774716012
1013122234020
115624182705
122662739518
1313117cb71c
148c6aa7380
1551c049515
hex30e2566a4

13122234020 has 96 divisors (see below), whose sum is σ = 31710776832. Its totient is φ = 4468128768.

The previous prime is 13122233981. The next prime is 13122234071. The reversal of 13122234020 is 2043222131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13122233983 and 13122234001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20281337 + ... + 20281983.

It is an arithmetic number, because the mean of its divisors is an integer number (330320592).

Almost surely, 213122234020 is an apocalyptic number.

13122234020 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 13122234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855388416).

13122234020 is an abundant number, since it is smaller than the sum of its proper divisors (18588542812).

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

13122234020 is a wasteful number, since it uses less digits than its factorization.

13122234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13122234020 its reverse (2043222131), we get a palindrome (15165456151).

The spelling of 13122234020 in words is "thirteen billion, one hundred twenty-two million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 457 634 647 914 1268 1294 1585 1828 2219 2285 2588 3170 3199 3235 4438 4529 4570 6340 6398 6470 8876 9058 9140 11095 12796 12940 15995 18116 22190 22645 31990 44380 45290 63980 90580 144869 205099 289738 295679 410198 579476 591358 724345 820396 1014083 1025495 1182716 1435693 1448690 1478395 2028166 2050990 2069753 2871386 2897380 2956790 4056332 4101980 4139506 5070415 5742772 5913580 7178465 8279012 10140830 10348765 14356930 20281660 20697530 28713860 41395060 93730243 187460486 374920972 468651215 656111701 937302430 1312223402 1874604860 2624446804 3280558505 6561117010 13122234020