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211410024132 = 223374159196837
BaseRepresentation
bin1100010011100100000…
…1001111011011000100
3202012200112020222002210
43010321001033123010
511430431431233012
6241042002303420
721162636361326
oct3047101173304
9665615228083
10211410024132
11817274a120a
1234b80957b70
1316c22187948
14a337605616
15577500723c
hex313904f6c4

211410024132 has 96 divisors (see below), whose sum is σ = 527777792640. Its totient is φ = 65758970880.

The previous prime is 211410024113. The next prime is 211410024143. The reversal of 211410024132 is 231420014112.

It is a junction number, because it is equal to n+sod(n) for n = 211410024099 and 211410024108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975618 + ... + 1172454.

It is an arithmetic number, because the mean of its divisors is an integer number (5497685340).

Almost surely, 2211410024132 is an apocalyptic number.

It is an amenable number.

211410024132 is an abundant number, since it is smaller than the sum of its proper divisors (316367768508).

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

211410024132 is a wasteful number, since it uses less digits than its factorization.

211410024132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196981 (or 196979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211410024132 its reverse (231420014112), we get a palindrome (442830038244).

The spelling of 211410024132 in words is "two hundred eleven billion, four hundred ten million, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 41 59 74 82 111 118 123 148 164 177 222 236 246 354 444 492 708 1517 2183 2419 3034 4366 4551 4838 6068 6549 7257 8732 9102 9676 13098 14514 18204 26196 29028 89503 179006 196837 268509 358012 393674 537018 590511 787348 1074036 1181022 2362044 7282969 8070317 11613383 14565938 16140634 21848907 23226766 24210951 29131876 32281268 34840149 43697814 46453532 48421902 69680298 87395628 96843804 139360596 298601729 429695171 476148703 597203458 859390342 895805187 952297406 1194406916 1289085513 1428446109 1718780684 1791610374 1904594812 2578171026 2856892218 3583220748 5156342052 5713784436 17617502011 35235004022 52852506033 70470008044 105705012066 211410024132