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124263031420 = 2251143110311909
BaseRepresentation
bin111001110111010100…
…1110110001001111100
3102212202002211001020001
41303232221312021330
54013442314001140
6133030300004044
711656232224303
oct1635651661174
9385662731201
10124263031420
1148777272790
12200bb530624
13b944461a78
14602b5a943a
153374385e9a
hex1ceea7627c

124263031420 has 96 divisors (see below), whose sum is σ = 291584240640. Its totient is φ = 44091989760.

The previous prime is 124263031391. The next prime is 124263031421. The reversal of 124263031420 is 24130362421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124263031421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10428426 + ... + 10440334.

It is an arithmetic number, because the mean of its divisors is an integer number (3037335840).

Almost surely, 2124263031420 is an apocalyptic number.

124263031420 is a gapful number since it is divisible by the number (10) 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 124263031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145792120320).

124263031420 is an abundant number, since it is smaller than the sum of its proper divisors (167321209220).

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

124263031420 is a wasteful number, since it uses less digits than its factorization.

124263031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 124263031420 its reverse (24130362421), we get a palindrome (148393393841).

The spelling of 124263031420 in words is "one hundred twenty-four billion, two hundred sixty-three million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1103 1892 2206 2365 4412 4730 5515 9460 11030 11909 12133 22060 23818 24266 47429 47636 48532 59545 60665 94858 119090 121330 130999 189716 237145 238180 242660 261998 474290 512087 521719 523996 654995 948580 1024174 1043438 1309990 2048348 2086876 2560435 2608595 2619980 5120870 5217190 5632957 10241740 10434380 11265914 13135627 22531828 26271254 28164785 52542508 56329570 65678135 112659140 131356270 144491897 262712540 288983794 564831961 577967588 722459485 1129663922 1444918970 2259327844 2824159805 2889837940 5648319610 6213151571 11296639220 12426303142 24852606284 31065757855 62131515710 124263031420