Search a number
-
+
242103020970 = 23531260325829
BaseRepresentation
bin1110000101111001110…
…1101110110110101010
3212010220120112202102110
43201132131232312222
512431311333132340
6303115351543150
723330352503166
oct3413635566652
9763816482373
10242103020970
1193747930aa8
123ab0798aab6
1319aa3ca9635
14ba09ac3ca6
15646e8bd680
hex385e76edaa

242103020970 has 32 divisors (see below), whose sum is σ = 599790712320. Its totient is φ = 62478198720.

The previous prime is 242103020917. The next prime is 242103020983. The reversal of 242103020970 is 79020301242.

It is a super-2 number, since 2×2421030209702 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130161985 + ... + 130163844.

It is an arithmetic number, because the mean of its divisors is an integer number (18743459760).

Almost surely, 2242103020970 is an apocalyptic number.

242103020970 is an abundant number, since it is smaller than the sum of its proper divisors (357687691350).

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

242103020970 is a wasteful number, since it uses less digits than its factorization.

242103020970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260325870.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 242103020970 in words is "two hundred forty-two billion, one hundred three million, twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 260325829 520651658 780977487 1301629145 1561954974 2603258290 3904887435 7809774870 8070100699 16140201398 24210302097 40350503495 48420604194 80701006990 121051510485 242103020970