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103302330132132 = 22333770381367307
BaseRepresentation
bin10111011111001111110010…
…101100010010011010100100
3111112202121101000001210212000
4113133033302230102122210
5102020001133003212012
61003412234010125300
730521230020132105
oct2737176254223244
9445677330053760
10103302330132132
112aa082aa30098a
12b704825420830
1345844a2469a51
141b71c064c03ac
15be21e6046ddc
hex5df3f2b126a4

103302330132132 has 96 divisors (see below), whose sum is σ = 275063914419840. Its totient is φ = 33502891178880.

The previous prime is 103302330132121. The next prime is 103302330132217. The reversal of 103302330132132 is 231231033203301.

103302330132132 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 2 + 3 + 301 + 321 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103302330132096 and 103302330132105.

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, 281058823 + ... + 281426129.

It is an arithmetic number, because the mean of its divisors is an integer number (2865249108540).

Almost surely, 2103302330132132 is an apocalyptic number.

103302330132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103302330132132 is an abundant number, since it is smaller than the sum of its proper divisors (171761584287708).

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

103302330132132 is a wasteful number, since it uses less digits than its factorization.

103302330132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437738 (or 437730 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103302330132132 its reverse (231231033203301), we get a palindrome (334533363335433).

The spelling of 103302330132132 in words is "one hundred three trillion, three hundred two billion, three hundred thirty million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 70381 140762 211143 281524 367307 422286 633429 734614 844572 1101921 1266858 1469228 1900287 2203842 2533716 2604097 3305763 3800574 4407684 5208194 6611526 7601148 7812291 9917289 10416388 13223052 13590359 15624582 19834578 23436873 27180718 31249164 39669156 40771077 46873746 54361436 70310619 81542154 93747492 122313231 140621238 163084308 244626462 281242476 366939693 489252924 733879386 1467758772 25851433967 51702867934 77554301901 103405735868 155108603802 232662905703 310217207604 465325811406 697988717109 930651622812 956503056779 1395977434218 1913006113558 2791954868436 2869509170337 3826012227116 5739018340674 8608527511011 11478036681348 17217055022022 25825582533033 34434110044044 51651165066066 103302330132132