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132001311222 = 232113776123677
BaseRepresentation
bin111101011101111100…
…1000010100111110110
3110121201101202101111200
41322323321002213312
54130314313424342
6140350210113330
712352054426644
oct1727371024766
9417641671450
10132001311222
1150a88331950
12216bab7b846
13c5a86ba961
1465631c6194
1536788d494c
hex1ebbe429f6

132001311222 has 96 divisors (see below), whose sum is σ = 320870238624. Its totient is φ = 38866521600.

The previous prime is 132001311209. The next prime is 132001311241. The reversal of 132001311222 is 222113100231.

132001311222 is a `hidden beast` number, since 132 + 0 + 0 + 1 + 311 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132001311195 and 132001311204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5563248 + ... + 5586924.

It is an arithmetic number, because the mean of its divisors is an integer number (3342398319).

Almost surely, 2132001311222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132001311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160435119312).

132001311222 is an abundant number, since it is smaller than the sum of its proper divisors (188868927402).

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

132001311222 is a wasteful number, since it uses less digits than its factorization.

132001311222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24494 (or 24491 counting only the distinct ones).

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

Adding to 132001311222 its reverse (222113100231), we get a palindrome (354114411453).

The spelling of 132001311222 in words is "one hundred thirty-two billion, one million, three hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 761 814 1221 1522 2283 2442 3663 4566 6849 7326 8371 13698 16742 23677 25113 28157 47354 50226 56314 71031 75339 84471 142062 150678 168942 213093 253413 260447 309727 426186 506826 520894 619454 781341 876049 929181 1562682 1752098 1858362 2344023 2628147 2787543 4688046 5256294 5575086 7884441 9636539 15768882 18018197 19273078 28909617 36036394 54054591 57819234 86728851 108109182 162163773 173457702 198200167 324327546 396400334 594600501 666673289 1189201002 1333346578 1783801503 2000019867 3567603006 4000039734 6000059601 7333406179 12000119202 14666812358 22000218537 44000437074 66000655611 132001311222