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1101131233332 = 2231323547153077
BaseRepresentation
bin10000000001100000100…
…010010011100000110100
310220021012201200101010120
4100001200202103200310
5121020104043431312
62201504103451540
7142361026023624
oct20014042234064
93807181611116
101101131233332
11394a94969379
121594a6756bb0
137cab4273400
143b41b816884
151d999e5628c
hex10060893834

1101131233332 has 72 divisors (see below), whose sum is σ = 2782950692256. Its totient is φ = 338711877504.

The previous prime is 1101131233291. The next prime is 1101131233333. The reversal of 1101131233332 is 2333321311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101131233333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7116778 + ... + 7269854.

It is an arithmetic number, because the mean of its divisors is an integer number (38652092948).

Almost surely, 21101131233332 is an apocalyptic number.

1101131233332 is a gapful number since it is divisible by the number (12) 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 1101131233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391475346128).

1101131233332 is an abundant number, since it is smaller than the sum of its proper divisors (1681819458924).

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

1101131233332 is a wasteful number, since it uses less digits than its factorization.

1101131233332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156657 (or 156642 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1101131233332 its reverse (2333321311011), we get a palindrome (3434452544343).

The spelling of 1101131233332 in words is "one trillion, one hundred one billion, one hundred thirty-one million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 3547 7094 10641 14188 21282 42564 46111 92222 138333 153077 184444 276666 306154 459231 553332 599443 612308 918462 1198886 1798329 1836924 1990001 2397772 3596658 3980002 5970003 7193316 7960004 11940006 23880012 25870013 51740026 77610039 103480052 155220078 310440156 542964119 1085928238 1628892357 2171856476 3257784714 6515569428 7058533547 14117067094 21175600641 28234134188 42351201282 84702402564 91760936111 183521872222 275282808333 367043744444 550565616666 1101131233332