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2120241020 = 2251749912497
BaseRepresentation
bin111111001100000…
…0100111101111100
312110202121101220012
41332120010331330
513320240203040
6550220042352
7103353515462
oct17630047574
95422541805
102120241020
11998903507
124b20933b8
1327a356bb1
14161838832
15c6214865
hex7e604f7c

2120241020 has 48 divisors (see below), whose sum is σ = 4724244000. Its totient is φ = 796545024.

The previous prime is 2120240987. The next prime is 2120241031. The reversal of 2120241020 is 201420212.

It is a junction number, because it is equal to n+sod(n) for n = 2120240986 and 2120241004.

It is a congruent number.

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, 163412 + ... + 175908.

It is an arithmetic number, because the mean of its divisors is an integer number (98421750).

Almost surely, 22120241020 is an apocalyptic number.

2120241020 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 2120241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362122000).

2120241020 is an abundant number, since it is smaller than the sum of its proper divisors (2604002980).

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

2120241020 is a wasteful number, since it uses less digits than its factorization.

2120241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2120241020 is about 46046.0749684487. The cubic root of 2120241020 is about 1284.6803385599.

Adding to 2120241020 its reverse (201420212), we get a palindrome (2321661232).

The spelling of 2120241020 in words is "two billion, one hundred twenty million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 499 998 1996 2495 4990 8483 9980 12497 16966 24994 33932 42415 49988 62485 84830 124970 169660 212449 249940 424898 849796 1062245 2124490 4248980 6236003 12472006 24944012 31180015 62360030 106012051 124720060 212024102 424048204 530060255 1060120510 2120241020