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1132133012300 = 22524121110091297
BaseRepresentation
bin10000011110011000011…
…000101101001101001100
311000020020021222220220102
4100132120120231031030
5122022102022343200
62224032243310232
7144536211553103
oct20363030551514
94006207886812
101132133012300
113a7153630804
121634b907b378
13829b5049314
143cb1cd1303a
151e6b19b36d5
hex1079862d34c

1132133012300 has 144 divisors (see below), whose sum is σ = 2533033604640. Its totient is φ = 438939648000.

The previous prime is 1132133012261. The next prime is 1132133012303. The reversal of 1132133012300 is 32103312311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1132133012303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872885252 + ... + 872886548.

Almost surely, 21132133012300 is an apocalyptic number.

1132133012300 is a gapful number since it is divisible by the number (10) 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 1132133012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266516802320).

1132133012300 is an abundant number, since it is smaller than the sum of its proper divisors (1400900592340).

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

1132133012300 is a wasteful number, since it uses less digits than its factorization.

1132133012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1132133012300 its reverse (32103312311), we get a palindrome (1164236324611).

The spelling of 1132133012300 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-three million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 211 410 422 820 844 1009 1025 1055 1297 2018 2050 2110 2594 4036 4100 4220 5045 5188 5275 6485 8651 10090 10550 12970 17302 20180 21100 25225 25940 32425 34604 41369 43255 50450 53177 64850 82738 86510 100900 106354 129700 165476 173020 206845 212708 212899 216275 265885 273667 413690 425798 432550 531770 547334 827380 851596 865100 1034225 1063540 1064495 1094668 1308673 1329425 1368335 2068450 2128990 2617346 2658850 2736670 4136900 4257980 5234692 5317700 5322475 5473340 6543365 6841675 8728859 10644950 11220347 13086730 13683350 17457718 21289900 22440694 26173460 27366700 32716825 34915436 43644295 44881388 53655593 56101735 65433650 87288590 107311186 112203470 130867300 174577180 214622372 218221475 224406940 268277965 276130003 280508675 436442950 536555930 552260006 561017350 872885900 1073111860 1104520012 1122034700 1341389825 1380650015 2682779650 2761300030 5365559300 5522600060 6903250075 11321330123 13806500150 22642660246 27613000300 45285320492 56606650615 113213301230 226426602460 283033253075 566066506150 1132133012300