Search a number
-
+
123203123000231 = 1967419465149663
BaseRepresentation
bin11100000000110101110110…
…011000011011001110100111
3121011020002210110210211211012
4130000311312120123032213
5112122024443442001411
61114010422223132435
734644063145356221
oct3400656630331647
9534202713724735
10123203123000231
113629017304240a
121199971074411b
13539900a297971
14225d0c4b0b411
15e39be15ac18b
hex700d7661b3a7

123203123000231 has 32 divisors (see below), whose sum is σ = 131968293273600. Its totient is φ = 114675298927200.

The previous prime is 123203123000219. The next prime is 123203123000263. The reversal of 123203123000231 is 132000321302321.

It is a de Polignac number, because none of the positive numbers 2k-123203123000231 is a prime.

It is a super-2 number, since 2×1232031230002312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123203123000197 and 123203123000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203123005231) 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, 2480758106 + ... + 2480807768.

It is an arithmetic number, because the mean of its divisors is an integer number (4124009164800).

Almost surely, 2123203123000231 is an apocalyptic number.

123203123000231 is a deficient number, since it is larger than the sum of its proper divisors (8765170273369).

123203123000231 is a wasteful number, since it uses less digits than its factorization.

123203123000231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54819.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 123203123000231 its reverse (132000321302321), we get a palindrome (255203444302552).

The spelling of 123203123000231 in words is "one hundred twenty-three trillion, two hundred three billion, one hundred twenty-three million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 19 67 419 1273 4651 7961 28073 49663 88369 311617 533387 943597 1948769 3327421 5920723 20808797 37026611 63220999 130567523 230982613 395367143 1394189399 2480782937 4388669647 15475835071 26489598581 96781714847 294040866349 1838852582093 6484374894749 123203123000231