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354121311522 = 231161199442003
BaseRepresentation
bin1010010011100110100…
…01100110010100100010
31020212001022201111221110
411021303101212110202
521300220023432042
6430403040404150
734404312324516
oct5116321462442
91225038644843
10354121311522
11127200280730
125876a616656
1327516685bb4
14131d4d64146
159328c8d09c
hex5273466522

354121311522 has 64 divisors (see below), whose sum is σ = 789242342400. Its totient is φ = 105019675200.

The previous prime is 354121311413. The next prime is 354121311527. The reversal of 354121311522 is 225113121453.

It is a happy number.

It is a super-2 number, since 2×3541213115222 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354121311522.

It is not an unprimeable number, because it can be changed into a prime (354121311527) by changing a digit.

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, 580173 + ... + 1022175.

It is an arithmetic number, because the mean of its divisors is an integer number (12331911600).

Almost surely, 2354121311522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354121311522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394621171200).

354121311522 is an abundant number, since it is smaller than the sum of its proper divisors (435121030878).

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

354121311522 is a wasteful number, since it uses less digits than its factorization.

354121311522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442279.

The product of its digits is 7200, while the sum is 30.

Adding to 354121311522 its reverse (225113121453), we get a palindrome (579234432975).

The spelling of 354121311522 in words is "three hundred fifty-four billion, one hundred twenty-one million, three hundred eleven thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 199 366 398 597 671 1194 1342 2013 2189 4026 4378 6567 12139 13134 24278 36417 72834 133529 267058 400587 442003 801174 884006 1326009 2652018 4862033 9724066 14586099 26962183 29172198 53924366 80886549 87958597 161773098 175917194 263875791 296584013 527751582 593168026 889752039 967544567 1779504078 1935089134 2902633701 5365474417 5805267402 10730948834 16096423251 32192846502 59020218587 118040437174 177060655761 354121311522