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242264405100 = 223521665748481
BaseRepresentation
bin1110000110100000010…
…1010111010001101100
3212011022211012220211110
43201220011113101230
512432124141430400
6303143354552020
723334352315644
oct3415005272154
9764284186743
10242264405100
119381aa39313
123ab51a38610
1319acb5630c3
14ba232d3524
15647db4ae50
hex386815746c

242264405100 has 72 divisors (see below), whose sum is σ = 701008219408. Its totient is φ = 64598630400.

The previous prime is 242264405099. The next prime is 242264405111. The reversal of 242264405100 is 1504462242.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4972860 + ... + 5021340.

Almost surely, 2242264405100 is an apocalyptic number.

242264405100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242264405100 is an abundant number, since it is smaller than the sum of its proper divisors (458743814308).

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

242264405100 is a wasteful number, since it uses less digits than its factorization.

242264405100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65155 (or 65148 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 242264405100 its reverse (1504462242), we get a palindrome (243768867342).

The spelling of 242264405100 in words is "two hundred forty-two billion, two hundred sixty-four million, four hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 16657 33314 48481 49971 66628 83285 96962 99942 145443 166570 193924 199884 242405 249855 290886 333140 416425 484810 499710 581772 727215 832850 969620 999420 1212025 1249275 1454430 1665700 2424050 2498550 2908860 3636075 4848100 4997100 7272150 14544300 807548017 1615096034 2422644051 3230192068 4037740085 4845288102 8075480170 9690576204 12113220255 16150960340 20188700425 24226440510 40377400850 48452881020 60566101275 80754801700 121132202550 242264405100