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242010133000 = 2353298345177
BaseRepresentation
bin1110000101100011101…
…1011001001000001000
3212010200002202120002021
43201120323121020020
512431114043224000
6303102233014224
723325144121606
oct3413073311010
9763602676067
10242010133000
11936aa457989
123aaa0854374
1319a8a98603c
14b9db624876
15646667111a
hex3858ed9208

242010133000 has 64 divisors (see below), whose sum is σ = 585831495600. Its totient is φ = 93465971200.

The previous prime is 242010132997. The next prime is 242010133021. The reversal of 242010133000 is 331010242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 868245156 + 241141887844 = 29466^2 + 491062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4143589 + ... + 4201588.

Almost surely, 2242010133000 is an apocalyptic number.

242010133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242010133000 is an abundant number, since it is smaller than the sum of its proper divisors (343821362600).

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

242010133000 is a wasteful number, since it uses less digits than its factorization.

242010133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345227 (or 8345213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 242010133000 its reverse (331010242), we get a palindrome (242341143242).

The spelling of 242010133000 in words is "two hundred forty-two billion, ten million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 8345177 16690354 33380708 41725885 66761416 83451770 166903540 208629425 242010133 333807080 417258850 484020266 834517700 968040532 1043147125 1210050665 1669035400 1936081064 2086294250 2420101330 4172588500 4840202660 6050253325 8345177000 9680405320 12100506650 24201013300 30251266625 48402026600 60502533250 121005066500 242010133000