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130233421032 = 2331113107354643
BaseRepresentation
bin111100101001010000…
…1000100110011101000
3110110011012011021002020
41321102201010303220
54113204223433112
6135454534104440
712260206546101
oct1712241046350
9413135137066
10130233421032
1150260409880
12212a6aab120
13c386360ca0
1464364ab3a8
1535c35c048c
hex1e52844ce8

130233421032 has 128 divisors (see below), whose sum is σ = 386079644160. Its totient is φ = 36088369920.

The previous prime is 130233420979. The next prime is 130233421079. The reversal of 130233421032 is 230124332031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130233420993 and 130233421011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189903 + ... + 544545.

It is an arithmetic number, because the mean of its divisors is an integer number (3016247220).

Almost surely, 2130233421032 is an apocalyptic number.

130233421032 is a gapful number since it is divisible by the number (12) 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 130233421032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193039822080).

130233421032 is an abundant number, since it is smaller than the sum of its proper divisors (255846223128).

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

130233421032 is a wasteful number, since it uses less digits than its factorization.

130233421032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354783 (or 354779 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130233421032 its reverse (230124332031), we get a palindrome (360357753063).

The spelling of 130233421032 in words is "one hundred thirty billion, two hundred thirty-three million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 107 132 143 156 214 264 286 312 321 428 429 572 642 856 858 1144 1177 1284 1391 1716 2354 2568 2782 3432 3531 4173 4708 5564 7062 8346 9416 11128 14124 15301 16692 28248 30602 33384 45903 61204 91806 122408 183612 354643 367224 709286 1063929 1418572 2127858 2837144 3901073 4255716 4610359 7802146 8511432 9220718 11703219 13831077 15604292 18441436 23406438 27662154 31208584 36882872 37946801 46812876 50713949 55324308 75893602 93625752 101427898 110648616 113840403 151787204 152141847 202855796 227680806 303574408 304283694 405711592 417414811 455361612 493308413 608567388 834829622 910723224 986616826 1217134776 1252244433 1479925239 1669659244 1973233652 2504488866 2959850478 3339318488 3946467304 5008977732 5426392543 5919700956 10017955464 10852785086 11839401912 16279177629 21705570172 32558355258 43411140344 65116710516 130233421032