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1132212101100 = 2235230712293291
BaseRepresentation
bin10000011110011101000…
…110011001111111101100
311000020102210211001100020
4100132131012121333230
5122022232244213400
62224044150402140
7144541162032513
oct20363506317754
94006383731306
101132212101100
113a719423a353
1216351b660350
13829c854aa22
143cb2961d67a
151e6b88d72a0
hex1079d199fec

1132212101100 has 72 divisors (see below), whose sum is σ = 3286537856448. Its totient is φ = 300939739200.

The previous prime is 1132212101051. The next prime is 1132212101101. The reversal of 1132212101100 is 11012122311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132212101100.

It is not an unprimeable number, because it can be changed into a prime (1132212101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6054546 + ... + 6238745.

Almost surely, 21132212101100 is an apocalyptic number.

1132212101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132212101100 is an abundant number, since it is smaller than the sum of its proper divisors (2154325755348).

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

1132212101100 is a wasteful number, since it uses less digits than its factorization.

1132212101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12293615 (or 12293608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1132212101100 its reverse (11012122311), we get a palindrome (1143224223411).

The spelling of 1132212101100 in words is "one trillion, one hundred thirty-two billion, two hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 307 614 921 1228 1535 1842 3070 3684 4605 6140 7675 9210 15350 18420 23025 30700 46050 92100 12293291 24586582 36879873 49173164 61466455 73759746 122932910 147519492 184399365 245865820 307332275 368798730 614664550 737597460 921996825 1229329100 1843993650 3687987300 3774040337 7548080674 11322121011 15096161348 18870201685 22644242022 37740403370 45288484044 56610605055 75480806740 94351008425 113221210110 188702016850 226442420220 283053025275 377404033700 566106050550 1132212101100