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332121222132301 = 72235931237401743
BaseRepresentation
bin100101110000011111111111…
…1011101111011001001001101
31121112221110221000022120011001
41023200333333131323021031
5322012433230331213201
63134210214431300301
7126645652331614600
oct11340777735731115
91545843830276131
10332121222132301
1196907901569578
12312bb39937a691
1311341b87535aa4
145c02a7802a337
15285e37da29301
hex12e0fff77b24d

332121222132301 has 48 divisors (see below), whose sum is σ = 404150003034624. Its totient is φ = 271618524688896.

The previous prime is 332121222132263. The next prime is 332121222132331. The reversal of 332121222132301 is 103231222121233.

It is not a de Polignac number, because 332121222132301 - 217 = 332121222001229 is a prime.

It is a super-2 number, since 2×3321212221323012 (a number of 30 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 332121222132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332121222132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826499836 + ... + 826901578.

It is an arithmetic number, because the mean of its divisors is an integer number (8419791729888).

Almost surely, 2332121222132301 is an apocalyptic number.

It is an amenable number.

332121222132301 is a deficient number, since it is larger than the sum of its proper divisors (72028780902323).

332121222132301 is a wasteful number, since it uses less digits than its factorization.

332121222132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403610 (or 403603 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 332121222132301 its reverse (103231222121233), we get a palindrome (435352444253534).

The spelling of 332121222132301 in words is "three hundred thirty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 7 23 49 161 593 1127 1237 4151 8659 13639 28451 29057 60613 95473 199157 401743 668311 733541 1394099 2812201 5134787 9240089 16871443 19685407 35943509 64680623 118100101 238233599 452764361 496956091 826700707 1667635193 3478692637 5479372777 11429990093 11673446351 24350848459 38355609439 80009930651 268489266073 294694961963 560069514557 2062864733741 6777984125149 14440053136187 47445888876043 332121222132301