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242013312100 = 225271399924697
BaseRepresentation
bin1110000101100100011…
…1100001010001100100
3212010200022202001222201
43201121013201101210
512431120401441400
6303102425104244
723325213132250
oct3413107412144
9763608661881
10242013312100
119370122943a
123aaa1928084
1319a8b52a071
14b9dbc11260
156466a9d06a
hex38591e1464

242013312100 has 72 divisors (see below), whose sum is σ = 600260192000. Its totient is φ = 82966705920.

The previous prime is 242013312059. The next prime is 242013312109. The reversal of 242013312100 is 1213310242.

It is a happy number.

It is a super-2 number, since 2×2420133121002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242013312109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9786952 + ... + 9811648.

Almost surely, 2242013312100 is an apocalyptic number.

242013312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242013312100 is an abundant number, since it is smaller than the sum of its proper divisors (358246879900).

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

242013312100 is a wasteful number, since it uses less digits than its factorization.

242013312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38717 (or 38710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 242013312100 its reverse (1213310242), we get a palindrome (243226622342).

The spelling of 242013312100 in words is "two hundred forty-two billion, thirteen million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 13999 24697 27998 49394 55996 69995 97993 98788 123485 139990 172879 195986 246970 279980 345758 349975 391972 489965 493940 617425 691516 699950 864395 979930 1234850 1399900 1728790 1959860 2449825 2469700 3457580 4321975 4899650 8643950 9799300 17287900 345733303 691466606 1382933212 1728666515 2420133121 3457333030 4840266242 6914666060 8643332575 9680532484 12100665605 17286665150 24201331210 34573330300 48402662420 60503328025 121006656050 242013312100