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123053531004 = 223271421911411
BaseRepresentation
bin111001010011010001…
…1111101111101111100
3102202121210221001120100
41302212203331331330
54004003200443004
6132310252121100
711614244520105
oct1624643757574
9382553831510
10123053531004
1148206568168
121ba22466190
13b7b09c2251
145d54ac53ac
1533030c0739
hex1ca68fdf7c

123053531004 has 72 divisors (see below), whose sum is σ = 315535409280. Its totient is φ = 40426999200.

The previous prime is 123053530979. The next prime is 123053531023. The reversal of 123053531004 is 400135350321.

123053531004 is a `hidden beast` number, since 1 + 2 + 305 + 353 + 1 + 0 + 0 + 4 = 666.

123053531004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10778059 + ... + 10789469.

It is an arithmetic number, because the mean of its divisors is an integer number (4382436240).

Almost surely, 2123053531004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123053531004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157767704640).

123053531004 is an abundant number, since it is smaller than the sum of its proper divisors (192481878276).

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

123053531004 is a wasteful number, since it uses less digits than its factorization.

123053531004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15711 (or 15706 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 123053531004 its reverse (400135350321), we get a palindrome (523188881325).

The spelling of 123053531004 in words is "one hundred twenty-three billion, fifty-three million, five hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 4219 8438 11411 12657 16876 22822 25314 34233 37971 45644 50628 68466 75942 102699 136932 151884 205398 299549 410796 599098 810181 898647 1198196 1620362 1797294 2430543 2695941 3240724 3594588 4861086 5391882 7291629 9722172 10783764 14583258 29166516 48143009 96286018 144429027 192572036 288858054 433287081 577716108 866574162 1733148324 3418153639 6836307278 10254460917 13672614556 20508921834 30763382751 41017843668 61526765502 123053531004