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130133044433 = 73313753792
BaseRepresentation
bin111100100110010001…
…0001010110011010001
3110102220012021121021102
41321030202022303101
54113003024410213
6135440550434145
712254550425000
oct1711442126321
9412805247242
10130133044433
1150209790407
1221279362955
13c36b617c52
14642701cc37
1535b9894158
hex1e4c88acd1

130133044433 has 96 divisors (see below), whose sum is σ = 166024857600. Its totient is φ = 101741028480.

The previous prime is 130133044399. The next prime is 130133044441. The reversal of 130133044433 is 334440331031.

It is not a de Polignac number, because 130133044433 - 220 = 130131995857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130133044396 and 130133044405.

It is not an unprimeable number, because it can be changed into a prime (130133044463) 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 95 ways as a sum of consecutive naturals, for example, 1647253688 + ... + 1647253766.

It is an arithmetic number, because the mean of its divisors is an integer number (1729425600).

Almost surely, 2130133044433 is an apocalyptic number.

It is an amenable number.

130133044433 is a deficient number, since it is larger than the sum of its proper divisors (35891813167).

130133044433 is an frugal number, since it uses more digits than its factorization.

130133044433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 130133044433 its reverse (334440331031), we get a palindrome (464573375464).

The spelling of 130133044433 in words is "one hundred thirty billion, one hundred thirty-three million, forty-four thousand, four hundred thirty-three".

Divisors: 1 7 31 37 49 53 79 217 259 343 371 553 1147 1519 1643 1813 1961 2449 2597 2923 3871 4187 6241 8029 10633 11501 12691 13727 17143 18179 20461 27097 29309 43687 56203 60791 80507 90613 96089 120001 129797 143227 154919 193471 205163 230917 305809 330773 393421 425537 563549 634291 672623 840007 908579 1002589 1084433 1354297 1436141 1616419 2140663 2315411 2978759 4440037 4802489 6360053 7158427 7591031 9480079 10253963 11314933 12238601 16207877 20851313 31080259 33617423 44520371 50108989 53137217 66360553 71777741 79204531 85670207 113455139 235321961 350762923 379396631 502444187 599691449 1647253727 2455340461 2655776417 3517109309 4197840143 18590434919 130133044433