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345145891122 = 23259223472
BaseRepresentation
bin1010000010111000100…
…11000101100100110010
31012222212210212220210200
411001130103011210302
521123324322003442
6422320254140030
733636015445224
oct5013423054462
91188783786720
10345145891122
1112341494851a
1256a847b1616
1326716030656
14129c2d0a414
158ea0d1934c
hex505c4c5932

345145891122 has 54 divisors (see below), whose sum is σ = 761030030943. Its totient is φ = 113050464984.

The previous prime is 345145891117. The next prime is 345145891127. The reversal of 345145891122 is 221198541543.

345145891122 is a `hidden beast` number, since 3 + 4 + 51 + 4 + 589 + 1 + 12 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (345145891117) and next prime (345145891127).

It can be written as a sum of positive squares in only one way, i.e., 172572945561 + 172572945561 = 415419^2 + 415419^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=415419.

It is not an unprimeable number, because it can be changed into a prime (345145891127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147057153 + ... + 147059499.

Almost surely, 2345145891122 is an apocalyptic number.

345145891122 is an abundant number, since it is smaller than the sum of its proper divisors (415884139821).

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

345145891122 is an frugal number, since it uses more digits than its factorization.

345145891122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 2411 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 345145891122 in words is "three hundred forty-five billion, one hundred forty-five million, eight hundred ninety-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 2347 3481 4694 6962 7041 10443 14082 20886 21123 31329 42246 62658 138473 276946 415419 830838 1246257 2492514 5508409 8169907 11016818 16339814 16525227 24509721 33050454 49019442 49575681 73529163 99151362 147058326 324996131 649992262 974988393 1949976786 2924965179 5849930358 19174771729 38349543458 57524315187 115048630374 172572945561 345145891122