Search a number
-
+
130421325133520 = 24516322751439613
BaseRepresentation
bin11101101001111000010100…
…110000010111011011010000
3122002210011020101120200110122
4131221320110300113123100
5114043310333213233040
61141214421333445412
736320426006226431
oct3551702460273320
9562704211520418
10130421325133520
1138613411a63013
1212764639aa0868
1357a08a7c96015
14242c5d662b488
1510128582151b5
hex769e14c176d0

130421325133520 has 80 divisors (see below), whose sum is σ = 305103989094912. Its totient is φ = 51846080832000.

The previous prime is 130421325133493. The next prime is 130421325133523. The reversal of 130421325133520 is 25331523124031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130421325133523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296453234 + ... + 296892846.

Almost surely, 2130421325133520 is an apocalyptic number.

130421325133520 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 130421325133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152551994547456).

130421325133520 is an abundant number, since it is smaller than the sum of its proper divisors (174682663961392).

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

130421325133520 is a wasteful number, since it uses less digits than its factorization.

130421325133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462540 (or 462534 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 130421325133520 its reverse (25331523124031), we get a palindrome (155752848257551).

The spelling of 130421325133520 in words is "one hundred thirty trillion, four hundred twenty-one billion, three hundred twenty-five million, one hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 13040 22751 45502 91004 113755 182008 227510 364016 439613 455020 879226 910040 1758452 1820080 2198065 3516904 3708413 4396130 7033808 7416826 8792260 14833652 17584520 18542065 29667304 35169040 37084130 59334608 71656919 74168260 143313838 148336520 286627676 296673040 358284595 573255352 716569190 1146510704 1433138380 2866276760 5732553520 10001635363 20003270726 40006541452 50008176815 80013082904 100016353630 160026165808 200032707260 400065414520 800130829040 1630266564169 3260533128338 6521066256676 8151332820845 13042132513352 16302665641690 26084265026704 32605331283380 65210662566760 130421325133520