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130553283222 = 2336758216199
BaseRepresentation
bin111100110010110010…
…1010000001010010110
3110110222111000221112000
41321211211100022112
54114333120030342
6135550401540130
712301142411655
oct1714545201226
9413874027460
10130553283222
1150404a19a9a
1221376044646
13c4076c455b
146466b7119c
1535e170444c
hex1e65950296

130553283222 has 64 divisors (see below), whose sum is σ = 294546624000. Its totient is φ = 42853963680.

The previous prime is 130553283221. The next prime is 130553283251. The reversal of 130553283222 is 222382355031.

130553283222 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 5 + 328 + 322 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130553283221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21057279 + ... + 21063477.

It is an arithmetic number, because the mean of its divisors is an integer number (4602291000).

Almost surely, 2130553283222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130553283222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147273312000).

130553283222 is an abundant number, since it is smaller than the sum of its proper divisors (163993340778).

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

130553283222 is a wasteful number, since it uses less digits than its factorization.

130553283222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 130553283222 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred eighty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 5821 6199 11642 12398 17463 18597 34926 37194 52389 55791 104778 111582 157167 167373 314334 334746 390007 415333 780014 830666 1170021 1245999 2340042 2491998 3510063 3737997 7020126 7475994 10530189 11213991 21060378 22427982 36084379 72168758 108253137 216506274 324759411 649518822 974278233 1948556466 2417653393 4835306786 7252960179 14505920358 21758880537 43517761074 65276641611 130553283222