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243121250052 = 223237269367777
BaseRepresentation
bin1110001001101100100…
…1111101111100000100
3212020112112112011010200
43202123021331330010
512440403020000202
6303404404050500
723364525346122
oct3423311757404
9766475464120
10243121250052
119411a67563a
123b150993a30
1319c06c29b55
14baa5018912
1564cdea0e1c
hex389b27df04

243121250052 has 72 divisors (see below), whose sum is σ = 631409816856. Its totient is φ = 78819692544.

The previous prime is 243121250033. The next prime is 243121250063. The reversal of 243121250052 is 250052121342.

243121250052 is a `hidden beast` number, since 243 + 121 + 250 + 0 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94136057856 + 148985192196 = 306816^2 + 385986^2 .

It is a super-2 number, since 2×2431212500522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243121249998 and 243121250025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3553188 + ... + 3620964.

Almost surely, 2243121250052 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 243121250052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315704908428).

243121250052 is an abundant number, since it is smaller than the sum of its proper divisors (388288566804).

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

243121250052 is a wasteful number, since it uses less digits than its factorization.

243121250052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70517 (or 70512 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 243121250052 its reverse (250052121342), we get a palindrome (493173371394).

The spelling of 243121250052 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2693 5386 8079 10772 16158 24237 32316 48474 67777 96948 99641 135554 199282 203331 271108 298923 398564 406662 597846 609993 813324 896769 1195692 1219986 1793538 2439972 2507749 3587076 5015498 7523247 10030996 15046494 22569741 30092988 45139482 90278964 182523461 365046922 547570383 730093844 1095140766 1642711149 2190281532 3285422298 6570844596 6753368057 13506736114 20260104171 27013472228 40520208342 60780312513 81040416684 121560625026 243121250052