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130121132300 = 225217917234219
BaseRepresentation
bin111100100101111010…
…0101110100100001100
3110102212100212101220022
41321023310232210030
54112442002213200
6135435443241312
712254344242515
oct1711364564414
9412770771808
10130121132300
1150202a94675
1221275379238
13c369006c53
1464255dba0c
1535b87de885
hex1e4bd2e90c

130121132300 has 72 divisors (see below), whose sum is σ = 284172436800. Its totient is φ = 51715379520.

The previous prime is 130121132279. The next prime is 130121132327. The reversal of 130121132300 is 3231121031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30839591 + ... + 30843809.

It is an arithmetic number, because the mean of its divisors is an integer number (3946839400).

Almost surely, 2130121132300 is an apocalyptic number.

130121132300 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 130121132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142086218400).

130121132300 is an abundant number, since it is smaller than the sum of its proper divisors (154051304500).

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

130121132300 is a wasteful number, since it uses less digits than its factorization.

130121132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130121132300 its reverse (3231121031), we get a palindrome (133352253331).

The spelling of 130121132300 in words is "one hundred thirty billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1723 1790 3446 3580 4219 4475 6892 8438 8615 8950 16876 17230 17900 21095 34460 42190 43075 84380 86150 105475 172300 210950 308417 421900 616834 755201 1233668 1510402 1542085 3020804 3084170 3776005 6168340 7269337 7552010 7710425 14538674 15104020 15420850 18880025 29077348 30841700 36346685 37760050 72693370 75520100 145386740 181733425 363466850 726933700 1301211323 2602422646 5204845292 6506056615 13012113230 26024226460 32530283075 65060566150 130121132300