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130221121272 = 233112392063857
BaseRepresentation
bin111100101000111001…
…0001001111011111000
3110110010100000100222120
41321101302021323320
54113143101340042
6135453414321240
712260000160534
oct1712162117370
9413110010876
10130221121272
1150254478890
12212a2959220
13c383945718
1464349c8bc4
1535c2490dec
hex1e51c89ef8

130221121272 has 64 divisors (see below), whose sum is σ = 356634662400. Its totient is φ = 39295818240.

The previous prime is 130221121253. The next prime is 130221121279. The reversal of 130221121272 is 272121122031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221121279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968833 + ... + 1095024.

It is an arithmetic number, because the mean of its divisors is an integer number (5572416600).

Almost surely, 2130221121272 is an apocalyptic number.

130221121272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130221121272 is an abundant number, since it is smaller than the sum of its proper divisors (226413541128).

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

130221121272 is a wasteful number, since it uses less digits than its factorization.

130221121272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064116 (or 2064112 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 130221121272 in words is "one hundred thirty billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 478 717 956 1434 1912 2629 2868 5258 5736 7887 10516 15774 21032 31548 63096 2063857 4127714 6191571 8255428 12383142 16510856 22702427 24766284 45404854 49532568 68107281 90809708 136214562 181619416 272429124 493261823 544858248 986523646 1479785469 1973047292 2959570938 3946094584 5425880053 5919141876 10851760106 11838283752 16277640159 21703520212 32555280318 43407040424 65110560636 130221121272