Search a number
-
+
103302330133030 = 257103179795110067
BaseRepresentation
bin10111011111001111110010…
…101100010010101000100110
3111112202121101000001212002021
4113133033302230102220212
5102020001133003224110
61003412234010133354
730521230020134530
oct2737176254225046
9445677330055067
10103302330133030
112aa082aa301626
12b70482542125a
1345844a246a292
141b71c064c0850
15be21e60472da
hex5df3f2b12a26

103302330133030 has 128 divisors (see below), whose sum is σ = 215818124820480. Its totient is φ = 34870282876800.

The previous prime is 103302330132961. The next prime is 103302330133073. The reversal of 103302330133030 is 30331033203301.

It is a junction number, because it is equal to n+sod(n) for n = 103302330132986 and 103302330133004.

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, 10261476057 + ... + 10261486123.

It is an arithmetic number, because the mean of its divisors is an integer number (1686079100160).

Almost surely, 2103302330133030 is an apocalyptic number.

103302330133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103302330133030 is an abundant number, since it is smaller than the sum of its proper divisors (112515794687450).

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

103302330133030 is a wasteful number, since it uses less digits than its factorization.

103302330133030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 103302330133030 its reverse (30331033203301), we get a palindrome (133633363336331).

The spelling of 103302330133030 in words is "one hundred three trillion, three hundred two billion, three hundred thirty million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 103 179 206 358 515 721 895 1030 1253 1442 1790 2506 3605 6265 7210 7951 10067 12530 15902 18437 20134 36874 39755 50335 55657 70469 79510 92185 100670 111314 129059 140938 184370 258118 278285 352345 556570 645295 704690 818953 1036901 1290590 1423229 1637906 1801993 2073802 2846458 3603986 4094765 5184505 5732671 7116145 7258307 8189530 9009965 9962603 10369010 11465342 12613951 14232290 14516614 18019930 19925206 25227902 28663355 36291535 49813015 57326710 63069755 72583070 80042717 99626030 126139510 146592587 160085434 185605279 293185174 371210558 400213585 560299019 732962935 800427170 928026395 1026148109 1120598038 1299236953 1465925870 1856052790 2052296218 2598473906 2801495095 5130740545 5602990190 6496184765 8244399851 10261481090 12992369530 14327646343 16488799702 28655292686 41221999255 57710798957 71638231715 82443998510 100293524401 115421597914 143276463430 200587048802 288553994785 501467622005 577107989570 1002935244010 1475747573329 2951495146658 7378737866645 10330233013303 14757475733290 20660466026606 51651165066515 103302330133030