Search a number
-
+
1100142201132 = 22321310322822633
BaseRepresentation
bin10000000000100101100…
…101011100100100101100
310220011122210122100000100
4100000211211130210230
5121011042400414012
62201222013231100
7142324356263052
oct20004545344454
93804583570010
101100142201132
11394627656897
1215926b492490
137c9873a6460
143b3663221d2
151d93d1de8dc
hex1002595c92c

1100142201132 has 72 divisors (see below), whose sum is σ = 3023907714464. Its totient is φ = 335218818816.

The previous prime is 1100142201121. The next prime is 1100142201167. The reversal of 1100142201132 is 2311022410011.

1100142201132 is a `hidden beast` number, since 110 + 0 + 1 + 422 + 0 + 1 + 132 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11363113 + ... + 11459520.

Almost surely, 21100142201132 is an apocalyptic number.

1100142201132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100142201132 is an abundant number, since it is smaller than the sum of its proper divisors (1923765513332).

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

1100142201132 is a wasteful number, since it uses less digits than its factorization.

1100142201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22822759 (or 22822754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1100142201132 its reverse (2311022410011), we get a palindrome (3411164611143).

The spelling of 1100142201132 in words is "one trillion, one hundred billion, one hundred forty-two million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1854 2678 3708 4017 5356 8034 12051 16068 24102 48204 22822633 45645266 68467899 91290532 136935798 205403697 273871596 296694229 410807394 593388458 821614788 890082687 1186776916 1780165374 2350731199 2670248061 3560330748 4701462398 5340496122 7052193597 9402924796 10680992244 14104387194 21156580791 28208774388 30559505587 42313161582 61119011174 84626323164 91678516761 122238022348 183357033522 275035550283 366714067044 550071100566 1100142201132