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242003001000 = 2335380667667
BaseRepresentation
bin1110000101100010000…
…0001011111010101000
3212010122121100012211010
43201120200023322220
512431110232013000
6303101420103520
723325026365605
oct3413040137250
9763577305733
10242003001000
11936a6426572
123aa9a394ba0
1319a89359a17
14b9da6c96ac
156465c12d50
hex385880bea8

242003001000 has 64 divisors (see below), whose sum is σ = 755049372480. Its totient is φ = 64534132800.

The previous prime is 242003000983. The next prime is 242003001077. The reversal of 242003001000 is 100300242.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 40330834 + ... + 40336833.

It is an arithmetic number, because the mean of its divisors is an integer number (11797646445).

Almost surely, 2242003001000 is an apocalyptic number.

242003001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242003001000 is an abundant number, since it is smaller than the sum of its proper divisors (513046371480).

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

242003001000 is a wasteful number, since it uses less digits than its factorization.

242003001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80667691 (or 80667677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 242003001000 its reverse (100300242), we get a palindrome (242103301242).

The spelling of 242003001000 in words is "two hundred forty-two billion, three million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 80667667 161335334 242003001 322670668 403338335 484006002 645341336 806676670 968012004 1210015005 1613353340 1936024008 2016691675 2420030010 3226706680 4033383350 4840060020 6050075025 8066766700 9680120040 10083458375 12100150050 16133533400 20166916750 24200300100 30250375125 40333833500 48400600200 60500750250 80667667000 121001500500 242003001000