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130121132000 = 255371458173
BaseRepresentation
bin111100100101111010…
…0101110011111100000
3110102212100212101111012
41321023310232133200
54112442002211000
6135435443240052
712254344241606
oct1711364563740
9412770771435
10130121132000
1150202a94422
1221275379028
13c369006a82
1464255db876
1535b87de735
hex1e4bd2e7e0

130121132000 has 96 divisors (see below), whose sum is σ = 324211253184. Its totient is φ = 51315264000.

The previous prime is 130121131963. The next prime is 130121132017. The reversal of 130121132000 is 231121031.

It is a super-2 number, since 2×1301211320002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54914 + ... + 513086.

It is an arithmetic number, because the mean of its divisors is an integer number (3377200554).

Almost surely, 2130121132000 is an apocalyptic number.

130121132000 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 130121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162105626592).

130121132000 is an abundant number, since it is smaller than the sum of its proper divisors (194090121184).

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

130121132000 is an equidigital number, since it uses as much as digits as its factorization.

130121132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458269 (or 458251 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 130121132000 its reverse (231121031), we get a palindrome (130352253031).

The spelling of 130121132000 in words is "one hundred thirty billion, one hundred twenty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 710 800 1000 1136 1420 1775 2000 2272 2840 3550 4000 5680 7100 8875 11360 14200 17750 28400 35500 56800 71000 142000 284000 458173 916346 1832692 2290865 3665384 4581730 7330768 9163460 11454325 14661536 18326920 22908650 32530283 36653840 45817300 57271625 65060566 73307680 91634600 114543250 130121132 162651415 183269200 229086500 260242264 325302830 366538400 458173000 520484528 650605660 813257075 916346000 1040969056 1301211320 1626514150 1832692000 2602422640 3253028300 4066285375 5204845280 6506056600 8132570750 13012113200 16265141500 26024226400 32530283000 65060566000 130121132000