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2123124240 = 243539722283
BaseRepresentation
bin111111010001100…
…0100111000010000
312110222000212221010
41332203010320100
513322004433430
6550401530520
7103420154406
oct17643047020
95428025833
102123124240
1199a4a2736
124b3043a40
1327ab26343
14161d89476
15c65d3cb0
hex7e8c4e10

2123124240 has 80 divisors (see below), whose sum is σ = 6598559808. Its totient is φ = 564715008.

The previous prime is 2123124217. The next prime is 2123124247. The reversal of 2123124240 is 424213212.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2123124247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84139 + ... + 106421.

Almost surely, 22123124240 is an apocalyptic number.

2123124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299279904).

2123124240 is an abundant number, since it is smaller than the sum of its proper divisors (4475435568).

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

2123124240 is a wasteful number, since it uses less digits than its factorization.

2123124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22696 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2123124240 is about 46077.3723209126. The cubic root of 2123124240 is about 1285.2624010555.

Adding to 2123124240 its reverse (424213212), we get a palindrome (2547337452).

The spelling of 2123124240 in words is "two billion, one hundred twenty-three million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 397 794 1191 1588 1985 2382 3176 3970 4764 5955 6352 7940 9528 11910 15880 19056 22283 23820 31760 44566 47640 66849 89132 95280 111415 133698 178264 222830 267396 334245 356528 445660 534792 668490 891320 1069584 1336980 1782640 2673960 5347920 8846351 17692702 26539053 35385404 44231755 53078106 70770808 88463510 106156212 132695265 141541616 176927020 212312424 265390530 353854040 424624848 530781060 707708080 1061562120 2123124240