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130142211200 = 2752347117203
BaseRepresentation
bin111100100110100010…
…1001000110010000000
3110102220211112022201022
41321031011020302000
54113012401224300
6135441515125012
712255021354161
oct1711505106200
9412824468638
10130142211200
1150213981551
1221280443768
13c3704a7481
146428327768
1535ba5a5285
hex1e4d148c80

130142211200 has 96 divisors (see below), whose sum is σ = 322421171760. Its totient is φ = 51906421760.

The previous prime is 130142211181. The next prime is 130142211229. The reversal of 130142211200 is 2112241031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051799 + ... + 1169001.

Almost surely, 2130142211200 is an apocalyptic number.

130142211200 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 130142211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161210585880).

130142211200 is an abundant number, since it is smaller than the sum of its proper divisors (192278960560).

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

130142211200 is a wasteful number, since it uses less digits than its factorization.

130142211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117574 (or 117557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 130142211200 its reverse (2112241031), we get a palindrome (132254452231).

The spelling of 130142211200 in words is "one hundred thirty billion, one hundred forty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 347 400 640 694 800 1388 1600 1735 2776 3200 3470 5552 6940 8675 11104 13880 17350 22208 27760 34700 44416 55520 69400 111040 117203 138800 222080 234406 277600 468812 555200 586015 937624 1110400 1172030 1875248 2344060 2930075 3750496 4688120 5860150 7500992 9376240 11720300 15001984 18752480 23440600 37504960 40669441 46881200 75009920 81338882 93762400 162677764 187524800 203347205 325355528 375049600 406694410 650711056 813388820 1016736025 1301422112 1626777640 2033472050 2602844224 3253555280 4066944100 5205688448 6507110560 8133888200 13014221120 16267776400 26028442240 32535552800 65071105600 130142211200