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124230400241031 = 3471915733732959
BaseRepresentation
bin11100001111110010100100…
…111000000110110110000111
3121021212022101012011200020000
4130033302210320012312013
5112240342324430203111
61120114354043412343
735111231062010520
oct3417624470066607
9537768335150200
10124230400241031
11366468a9290017
1211b248258240b3
135441b51803876
142296ad7b23847
15e567b78bdc56
hex70fca4e06d87

124230400241031 has 80 divisors (see below), whose sum is σ = 223267121510400. Its totient is φ = 67248181132992.

The previous prime is 124230400241029. The next prime is 124230400241113. The reversal of 124230400241031 is 130142004032421.

124230400241031 is a `hidden beast` number, since 1 + 2 + 4 + 230 + 400 + 24 + 1 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 124230400241031 - 21 = 124230400241029 is a prime.

It is a super-2 number, since 2×1242304002410312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 124230400240986 and 124230400241004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124230400242031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169125130 + ... + 169858088.

It is an arithmetic number, because the mean of its divisors is an integer number (2790839018880).

Almost surely, 2124230400241031 is an apocalyptic number.

124230400241031 is a deficient number, since it is larger than the sum of its proper divisors (99036721269369).

124230400241031 is a wasteful number, since it uses less digits than its factorization.

124230400241031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748730 (or 748721 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124230400241031 its reverse (130142004032421), we get a palindrome (254372404273452).

The spelling of 124230400241031 in words is "one hundred twenty-four trillion, two hundred thirty billion, four hundred million, two hundred forty-one thousand, thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 15733 47199 110131 141597 298927 330393 424791 732959 896781 991179 1274373 2092489 2198877 2690343 2973537 5130713 6277467 6596631 8071029 8920611 13926221 15392139 18832401 19789893 24213087 41778663 46176417 56497203 59369679 97483547 125335989 138529251 169491609 292450641 376007967 415587753 877351923 1128023901 2632055769 7896167307 11531643947 34594931841 80721507629 103784795523 219101234993 242164522887 311354386569 657303704979 726493568661 934063159707 1533708644951 1971911114937 2179480705983 4601125934853 5915733344811 6538442117949 13803377804559 17747200034433 41410133413677 124230400241031