Search a number
-
+
13370653100 = 2252773925847
BaseRepresentation
bin11000111001111001…
…11111100110101100
31021111211020112221002
430130330333212230
5204340341344400
610050431255432
7652223450630
oct143474774654
937454215832
1013370653100
115741426632
12271197a578
13135110966c
1490ba90dc0
15533c69ed5
hex31cf3f9ac

13370653100 has 72 divisors (see below), whose sum is σ = 33205374720. Its totient is φ = 4577843520.

The previous prime is 13370653099. The next prime is 13370653133. The reversal of 13370653100 is 135607331.

It is a happy number.

It is a super-2 number, since 2×133706531002 (a number of 21 digits) contains 22 as substring.

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, 504377 + ... + 530223.

It is an arithmetic number, because the mean of its divisors is an integer number (461185760).

Almost surely, 213370653100 is an apocalyptic number.

13370653100 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 13370653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602687360).

13370653100 is an abundant number, since it is smaller than the sum of its proper divisors (19834721620).

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

13370653100 is a wasteful number, since it uses less digits than its factorization.

13370653100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26607 (or 26600 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The spelling of 13370653100 in words is "thirteen billion, three hundred seventy million, six hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 739 1478 2956 3695 5173 7390 10346 14780 18475 20692 25847 25865 36950 51694 51730 73900 103388 103460 129235 129325 180929 258470 258650 361858 516940 517300 646175 723716 904645 1292350 1809290 2584700 3618580 4523225 9046450 18092900 19100933 38201866 76403732 95504665 133706531 191009330 267413062 382018660 477523325 534826124 668532655 955046650 1337065310 1910093300 2674130620 3342663275 6685326550 13370653100