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242402122300 = 225213316014941
BaseRepresentation
bin1110000111000001001…
…0101101101000111100
3212011200102100200022111
43201300102231220330
512432414420403200
6303205154423404
723340644020552
oct3416022555074
9764612320274
10242402122300
1193890751288
123ab8bb91b64
1319b20c51380
14ba37701bd2
15648aca10ba
hex38704ada3c

242402122300 has 72 divisors (see below), whose sum is σ = 584748601472. Its totient is φ = 86615136000.

The previous prime is 242402122271. The next prime is 242402122349. The reversal of 242402122300 is 3221204242.

It is a congruent number.

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, 2967171 + ... + 3047770.

Almost surely, 2242402122300 is an apocalyptic number.

242402122300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242402122300 is an abundant number, since it is smaller than the sum of its proper divisors (342346479172).

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

242402122300 is a wasteful number, since it uses less digits than its factorization.

242402122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014999 (or 6014992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242402122300 its reverse (3221204242), we get a palindrome (245623326542).

The spelling of 242402122300 in words is "two hundred forty-two billion, four hundred two million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 3100 4030 8060 10075 20150 40300 6014941 12029882 24059764 30074705 60149410 78194233 120298820 150373525 156388466 186463171 300747050 312776932 372926342 390971165 601494100 745852684 781942330 932315855 1563884660 1864631710 1954855825 2424021223 3729263420 3909711650 4661579275 4848042446 7819423300 9323158550 9696084892 12120106115 18646317100 24240212230 48480424460 60600530575 121201061150 242402122300