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130201132000 = 2553145122433
BaseRepresentation
bin111100101000010010…
…1111001101111100000
3110110001221101210212011
41321100211321233200
54113122442211000
6135451422042304
712256335235012
oct1712045715740
9413057353764
10130201132000
1150244165625
1221298119394
13c37c767154
1464320a41b2
1535c08432ba
hex1e50979be0

130201132000 has 96 divisors (see below), whose sum is σ = 320138923104. Its totient is φ = 52042240000.

The previous prime is 130201131947. The next prime is 130201132069. The reversal of 130201132000 is 231102031.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5792784 + ... + 5815216.

It is an arithmetic number, because the mean of its divisors is an integer number (3334780449).

Almost surely, 2130201132000 is an apocalyptic number.

130201132000 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 130201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160069461552).

130201132000 is an abundant number, since it is smaller than the sum of its proper divisors (189937791104).

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

130201132000 is a wasteful number, since it uses less digits than its factorization.

130201132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23909 (or 23891 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 130201132000 its reverse (231102031), we get a palindrome (130432234031).

The spelling of 130201132000 in words is "one hundred thirty billion, two hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1451 2000 2902 4000 5804 7255 11608 14510 22433 23216 29020 36275 44866 46432 58040 72550 89732 112165 116080 145100 179464 181375 224330 232160 290200 358928 362750 448660 560825 580400 717856 725500 897320 1121650 1160800 1451000 1794640 2243300 2804125 2902000 3589280 4486600 5608250 5804000 8973200 11216500 17946400 22433000 32550283 44866000 65100566 89732000 130201132 162751415 260402264 325502830 520804528 651005660 813757075 1041609056 1302011320 1627514150 2604022640 3255028300 4068785375 5208045280 6510056600 8137570750 13020113200 16275141500 26040226400 32550283000 65100566000 130201132000