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132141111143100 = 2235210115727777661
BaseRepresentation
bin11110000010111001111111…
…111111010110101010111100
3122022212120022020100221021020
4132002321333333112222330
5114304444443423034400
61145012442144304140
736555610630142223
oct3602717777265274
9568776266327236
10132141111143100
1139116804368434
12129a19ba912050
135896b12961167
14248b941a79cba
151042460ad02a0
hex782e7ffd6abc

132141111143100 has 144 divisors (see below), whose sum is σ = 388573047087456. Its totient is φ = 34666519680000.

The previous prime is 132141111143009. The next prime is 132141111143117. The reversal of 132141111143100 is 1341111141231.

It is a super-2 number, since 2×1321411111431002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9131731 + ... + 18645930.

Almost surely, 2132141111143100 is an apocalyptic number.

132141111143100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132141111143100 is an abundant number, since it is smaller than the sum of its proper divisors (256431935944356).

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

132141111143100 is a wasteful number, since it uses less digits than its factorization.

132141111143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27777936 (or 27777929 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 132141111143100 its reverse (1341111141231), we get a palindrome (133482222284331).

The spelling of 132141111143100 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred eleven million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 157 202 300 303 314 404 471 505 606 628 785 942 1010 1212 1515 1570 1884 2020 2355 2525 3030 3140 3925 4710 5050 6060 7575 7850 9420 10100 11775 15150 15700 15857 23550 30300 31714 47100 47571 63428 79285 95142 158570 190284 237855 317140 396425 475710 792850 951420 1189275 1585700 2378550 4757100 27777661 55555322 83332983 111110644 138888305 166665966 277776610 333331932 416664915 555553220 694441525 833329830 1388883050 1666659660 2083324575 2777766100 2805543761 4166649150 4361092777 5611087522 8333298300 8416631283 8722185554 11222175044 13083278331 14027718805 16833262566 17444371108 21805463885 26166556662 28055437610 33666525132 42083156415 43610927770 52333113324 56110875220 65416391655 70138594025 84166312830 87221855540 109027319425 130832783310 140277188050 168332625660 210415782075 218054638850 261665566620 280554376100 327081958275 420831564150 436109277700 440470370477 654163916550 841663128300 880940740954 1308327833100 1321411111431 1761881481908 2202351852385 2642822222862 4404703704770 5285644445724 6607055557155 8809407409540 11011759261925 13214111114310 22023518523850 26428222228620 33035277785775 44047037047700 66070555571550 132141111143100