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3122121132 = 2233134095437
BaseRepresentation
bin1011101000010111…
…1100100110101100
322001120211012001000
42322011330212230
522343230334012
61233445520300
7140240406654
oct27205744654
98046735030
103122121132
1113623a08a9
12731713090
133a9aa1a70
14218915364
15134167ddc
hexba17c9ac

3122121132 has 96 divisors (see below), whose sum is σ = 8739953600. Its totient is φ = 958127616.

The previous prime is 3122121109. The next prime is 3122121133. The reversal of 3122121132 is 2311212213.

It is a super-2 number, since 2×31221211322 = 19495280725761922848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3122121133) 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, 571518 + ... + 576954.

Almost surely, 23122121132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369976800).

3122121132 is an abundant number, since it is smaller than the sum of its proper divisors (5617832468).

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

3122121132 is a wasteful number, since it uses less digits than its factorization.

3122121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5864 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3122121132 is about 55875.9441262517. The cubic root of 3122121132 is about 1461.5597785799.

Adding to 3122121132 its reverse (2311212213), we get a palindrome (5433333345).

The spelling of 3122121132 in words is "three billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 409 468 702 818 1227 1404 1636 2454 3681 4908 5317 5437 7362 10634 10874 11043 14724 15951 16311 21268 21748 22086 31902 32622 44172 47853 48933 63804 65244 70681 95706 97866 141362 143559 146799 191412 195732 212043 282724 287118 293598 424086 574236 587196 636129 848172 1272258 1908387 2223733 2544516 3816774 4447466 6671199 7633548 8894932 13342398 20013597 26684796 28908529 40027194 57817058 60040791 80054388 86725587 115634116 120081582 173451174 240163164 260176761 346902348 520353522 780530283 1040707044 1561060566 3122121132