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1132113031000 = 23537293551981
BaseRepresentation
bin10000011110010111001…
…100011110111101011000
311000020011220101202201021
4100132113030132331120
5122022031413443000
62224030251132224
7144535546662430
oct20362714367530
94006156352637
101132113031000
113a7143323536
121634b2444074
13829b0b71573
143cb1a3d12c0
151e6aed6811a
hex1079731ef58

1132113031000 has 128 divisors (see below), whose sum is σ = 3037932293760. Its totient is φ = 386827584000.

The previous prime is 1132113030949. The next prime is 1132113031001. The reversal of 1132113031000 is 1303112311.

It is a super-2 number, since 2×11321130310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132113031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775010 + ... + 2326990.

It is an arithmetic number, because the mean of its divisors is an integer number (23733846045).

Almost surely, 21132113031000 is an apocalyptic number.

1132113031000 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 1132113031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518966146880).

1132113031000 is an abundant number, since it is smaller than the sum of its proper divisors (1905819262760).

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

1132113031000 is a wasteful number, since it uses less digits than its factorization.

1132113031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552302 (or 552288 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1132113031000 its reverse (1303112311), we get a palindrome (1133416143311).

The spelling of 1132113031000 in words is "one trillion, one hundred thirty-two billion, one hundred thirteen million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 293 350 500 586 700 875 1000 1172 1400 1465 1750 2051 2344 2930 3500 4102 5860 7000 7325 8204 10255 11720 14650 16408 20510 29300 36625 41020 51275 58600 73250 82040 102550 146500 205100 256375 293000 410200 512750 551981 1025500 1103962 2051000 2207924 2759905 3863867 4415848 5519810 7727734 11039620 13799525 15455468 19319335 22079240 27599050 30910936 38638670 55198100 68997625 77277340 96596675 110396200 137995250 154554680 161730433 193193350 275990500 323460866 386386700 482983375 551981000 646921732 772773400 808652165 965966750 1132113031 1293843464 1617304330 1931933500 2264226062 3234608660 3863867000 4043260825 4528452124 5660565155 6469217320 8086521650 9056904248 11321130310 16173043300 20216304125 22642260620 28302825775 32346086600 40432608250 45284521240 56605651550 80865216500 113211303100 141514128875 161730433000 226422606200 283028257750 566056515500 1132113031000