Search a number
-
+
130233012341430 = 2352312710131467097
BaseRepresentation
bin11101100111001000111100…
…011100000100101010110110
3122002010011011112211200020110
4131213020330130010222312
5114032214202124411210
61140552115301043450
736301011311011035
oct3547107434045266
9562104145750213
10130233012341430
1138550568332129
12127340443b6586
135788bc70821ab
1424234507c471c
15100c9d5d27420
hex76723c704ab6

130233012341430 has 128 divisors (see below), whose sum is σ = 329041584488448. Its totient is φ = 32924732746752.

The previous prime is 130233012341371. The next prime is 130233012341461. The reversal of 130233012341430 is 34143210332031.

130233012341430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88035642 + ... + 89502738.

It is an arithmetic number, because the mean of its divisors is an integer number (2570637378816).

Almost surely, 2130233012341430 is an apocalyptic number.

130233012341430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130233012341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520792244224).

130233012341430 is an abundant number, since it is smaller than the sum of its proper divisors (198808572147018).

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

130233012341430 is a wasteful number, since it uses less digits than its factorization.

130233012341430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468270.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 130233012341430 its reverse (34143210332031), we get a palindrome (164376222673461).

The spelling of 130233012341430 in words is "one hundred thirty trillion, two hundred thirty-three billion, twelve million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 127 138 230 254 345 381 635 690 762 1013 1270 1905 2026 2921 3039 3810 5065 5842 6078 8763 10130 14605 15195 17526 23299 29210 30390 43815 46598 69897 87630 116495 128651 139794 232990 257302 349485 385953 643255 698970 771906 1286510 1467097 1929765 2934194 2958973 3859530 4401291 5917946 7335485 8802582 8876919 14670970 14794865 17753838 22006455 29589730 33743231 44012910 44384595 67486462 88769190 101229693 168716155 186321319 202459386 337432310 372642638 506148465 558963957 931606595 1012296930 1117927914 1486169261 1863213190 2794819785 2972338522 4285390337 4458507783 5589639570 7430846305 8570780674 8917015566 12856171011 14861692610 21426951685 22292538915 25712342022 34181893003 42853903370 44585077830 64280855055 68363786006 102545679009 128561710110 170909465015 188743496147 205091358018 341818930030 377486992294 512728395045 566230488441 943717480735 1025456790090 1132460976882 1887434961470 2831152442205 4341100411381 5662304884410 8682200822762 13023301234143 21705502056905 26046602468286 43411004113810 65116506170715 130233012341430