Search a number
-
+
32130401312130 = 23511196991733009
BaseRepresentation
bin1110100111000111100010…
…01010000001110110000010
311012202122011220121121211020
413103203301022001312002
513202411030213442010
6152200300320530310
76524226203636652
oct723436112016602
9135678156547736
1032130401312130
11a2684769a2790
12372b106480996
1314c0b64a58a34
147d119672c362
153aabbae8c470
hex1d38f1281d82

32130401312130 has 128 divisors (see below), whose sum is σ = 88563558297600. Its totient is φ = 7378165324800.

The previous prime is 32130401312101. The next prime is 32130401312137. The reversal of 32130401312130 is 3121310403123.

It is a self number, because there is not a number n which added to its sum of digits gives 32130401312130.

It is not an unprimeable number, because it can be changed into a prime (32130401312137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43467066 + ... + 44200074.

It is an arithmetic number, because the mean of its divisors is an integer number (691902799200).

Almost surely, 232130401312130 is an apocalyptic number.

32130401312130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130401312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44281779148800).

32130401312130 is an abundant number, since it is smaller than the sum of its proper divisors (56433156985470).

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

32130401312130 is a wasteful number, since it uses less digits than its factorization.

32130401312130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740040.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32130401312130 its reverse (3121310403123), we get a palindrome (35251711715253).

The spelling of 32130401312130 in words is "thirty-two trillion, one hundred thirty billion, four hundred one million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 6991 13982 20973 34955 41946 69910 76901 104865 132829 153802 209730 230703 265658 384505 398487 461406 664145 733009 769010 796974 1153515 1328290 1461119 1466018 1992435 2199027 2307030 2922238 3665045 3984870 4383357 4398054 7305595 7330090 8063099 8766714 10995135 13927171 14611190 16126198 21916785 21990270 24189297 27854342 40315495 41781513 43833570 48378594 69635855 80630990 83563026 120946485 139271710 153198881 208907565 241892970 306397762 417815130 459596643 765994405 919193286 1531988810 2297983215 4595966430 5124465919 10248931838 15373397757 25622329595 30746795514 51244659190 56369125109 76866988785 97364852461 112738250218 153733977570 169107375327 194729704922 281845625545 292094557383 338214750654 486824262305 563691251090 584189114766 845536876635 973648524610 1071013377071 1460472786915 1691073753270 2142026754142 2920945573830 3213040131213 5355066885355 6426080262426 10710133770710 16065200656065 32130401312130