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130553283220 = 22541735693833
BaseRepresentation
bin111100110010110010…
…1010000001010010100
3110110222111000221111221
41321211211100022110
54114333120030340
6135550401540124
712301142411653
oct1714545201224
9413874027457
10130553283220
1150404a19a98
1221376044644
13c4076c4559
146466b7119a
1535e170444a
hex1e65950294

130553283220 has 96 divisors (see below), whose sum is σ = 285270763680. Its totient is φ = 50148311040.

The previous prime is 130553283199. The next prime is 130553283221. The reversal of 130553283220 is 22382355031.

It can be written as a sum of positive squares in 16 ways, for example, as 97771283856 + 32781999364 = 312684^2 + 181058^2 .

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34058424 + ... + 34062256.

It is an arithmetic number, because the mean of its divisors is an integer number (2971570455).

Almost surely, 2130553283220 is an apocalyptic number.

130553283220 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 130553283220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142635381840).

130553283220 is an abundant number, since it is smaller than the sum of its proper divisors (154717480460).

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

130553283220 is a wasteful number, since it uses less digits than its factorization.

130553283220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 130553283220 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 569 730 820 1138 1460 2276 2845 2993 3833 5690 5986 7666 11380 11972 14965 15332 19165 23329 29930 38330 41537 46658 59860 76660 83074 93316 116645 157153 166148 207685 233290 279809 314306 415370 466580 559618 628612 785765 830740 1119236 1399045 1571530 1703017 2180977 2798090 3143060 3406034 4361954 5596180 6812068 8515085 8723908 10904885 11472169 17030170 21809770 22944338 34060340 43619540 45888676 57360845 89420057 114721690 159211321 178840114 229443380 318422642 357680228 447100285 636845284 796056605 894200570 1592113210 1788401140 3184226420 6527664161 13055328322 26110656644 32638320805 65276641610 130553283220