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1131010200432 = 243273527318127
BaseRepresentation
bin10000011101010101011…
…101100001001101110000
311000010100001020011120200
4100131111131201031300
5122012302102403212
62223325013435200
7144466326040110
oct20352535411560
94003301204520
101131010200432
113a6727855612
1216324503bb00
138286653c3b8
143ca53b57040
151e6481236dc
hex10755761370

1131010200432 has 120 divisors (see below), whose sum is σ = 3618474402816. Its totient is φ = 323053135488.

The previous prime is 1131010200421. The next prime is 1131010200433. The reversal of 1131010200432 is 2340020101311.

1131010200432 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 1 + 0 + 200 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131010200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396153 + ... + 3714279.

Almost surely, 21131010200432 is an apocalyptic number.

1131010200432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131010200432 is an abundant number, since it is smaller than the sum of its proper divisors (2487464202384).

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

1131010200432 is a wasteful number, since it uses less digits than its factorization.

1131010200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321675 (or 321666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131010200432 its reverse (2340020101311), we get a palindrome (3471030301743).

The spelling of 1131010200432 in words is "one trillion, one hundred thirty-one billion, ten million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3527 7054 10581 14108 21162 24689 28216 31743 42324 49378 56432 63486 74067 84648 98756 126972 148134 169296 197512 222201 253944 296268 318127 395024 444402 507888 592536 636254 888804 954381 1185072 1272508 1777608 1908762 2226889 2545016 2863143 3555216 3817524 4453778 5090032 5726286 6680667 7635048 8907556 11452572 13361334 15270096 17815112 20042001 22905144 26722668 35630224 40084002 45810288 53445336 80168004 106890672 160336008 320672016 1122033929 2244067858 3366101787 4488135716 6732203574 7854237503 8976271432 10098305361 13464407148 15708475006 17952542864 20196610722 23562712509 26928814296 31416950012 40393221444 47125425018 53857628592 62833900024 70688137527 80786442888 94250850036 125667800048 141376275054 161572885776 188501700072 282752550108 377003400144 565505100216 1131010200432