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119252133 = 327211133161
BaseRepresentation
bin1110001101110…
…10010010100101
322022101122011200
413012322102211
5221012032013
615455553113
72645424600
oct706722245
9268348150
10119252133
1161350990
1233b2b799
131b9246c0
1411ba3337
15a708e73
hex71ba4a5

119252133 has 144 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 54432000.

The previous prime is 119252129. The next prime is 119252141. The reversal of 119252133 is 331252911.

It is not a de Polignac number, because 119252133 - 22 = 119252129 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 119252097 and 119252106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119252123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1954923 + ... + 1954983.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2119252133 is an apocalyptic number.

119252133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

119252133 is an abundant number, since it is smaller than the sum of its proper divisors (127732059).

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

119252133 is a wasteful number, since it uses less digits than its factorization.

119252133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 119252133 is about 10920.2624968450. The cubic root of 119252133 is about 492.2156129127.

It can be divided in two parts, 119 and 252133, that added together give a palindrome (252252).

The spelling of 119252133 in words is "one hundred nineteen million, two hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 31 33 39 49 61 63 77 91 93 99 117 143 147 183 217 231 273 279 341 403 427 429 441 539 549 637 651 671 693 793 819 1001 1023 1209 1281 1287 1519 1617 1891 1911 1953 2013 2379 2387 2821 2989 3003 3069 3627 3843 4433 4557 4697 4851 5551 5673 5733 6039 7007 7137 7161 8463 8723 8967 9009 13237 13299 13671 14091 16653 16709 17019 19747 20801 21021 21483 24583 25389 26169 26901 31031 32879 38857 39711 39897 42273 49959 50127 59241 61061 62403 63063 73749 78507 92659 93093 98637 116571 119133 145607 150381 172081 177723 183183 187209 217217 221247 270413 277977 279279 295911 349713 427427 436821 516243 549549 651651 811239 833931 1019249 1204567 1282281 1310463 1548729 1892891 1954953 2433717 3057747 3613701 3846843 5678673 9173241 10841103 13250237 17036019 39750711 119252133