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31132445199999 = 31113223710934141
BaseRepresentation
bin1110001010000100101100…
…10101100100111001111111
311002020020021122010110101220
413011002112111210321333
513040033221432344444
6150114014202004423
76362150004642453
oct705022625447177
9132206248113356
1031132445199999
119a13217770020
1235a9814aa6713
13144aa14062900
14798b65926663
1538ec5dda7619
hex1c5096564e7f

31132445199999 has 96 divisors (see below), whose sum is σ = 51175503889920. Its totient is φ = 16656671116800.

The previous prime is 31132445199991. The next prime is 31132445200093. The reversal of 31132445199999 is 99999154423113.

It is a happy number.

It is not a de Polignac number, because 31132445199999 - 23 = 31132445199991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132445199991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 911861469 + ... + 911895609.

It is an arithmetic number, because the mean of its divisors is an integer number (533078165520).

Almost surely, 231132445199999 is an apocalyptic number.

31132445199999 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

31132445199999 is a deficient number, since it is larger than the sum of its proper divisors (20043058689921).

31132445199999 is a wasteful number, since it uses less digits than its factorization.

31132445199999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41313 (or 41300 counting only the distinct ones).

The product of its digits is 85030560, while the sum is 69.

The spelling of 31132445199999 in words is "thirty-one trillion, one hundred thirty-two billion, four hundred forty-five million, one hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 11 13 23 33 39 69 143 169 253 299 429 507 759 897 1859 3289 3887 5577 7109 9867 11661 21327 34141 42757 78199 92417 102423 128271 163507 234597 277251 375551 443833 490521 785243 1016587 1126653 1201421 1331499 1798577 2125591 2355729 3049761 3604263 4882163 5395731 5769829 6376773 8637673 10208159 13215631 14646489 17309487 23381501 25913019 27632683 30624477 39646893 63468119 70144503 82898049 112289749 132706067 190404357 242708369 303959513 336869247 398118201 728125107 911878539 1459766737 2669792059 3155208797 4379300211 5582292487 8009376177 9465626391 16746877461 34707296767 41017714361 61405217357 72569802331 104121890301 123053143083 184215652071 217709406993 451194857971 798267825641 943407430303 1353584573913 2394803476923 2830222290909 10377481733333 31132445199999