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10123242030 = 23351126912671
BaseRepresentation
bin10010110110110010…
…00110101000101110
3222010111122222102000
421123121012220232
5131213022221110
64352304113130
7505602065106
oct113331065056
928114588360
1010123242030
114325340630
121b663057a6
13c543aac55
146c0684206
153e3b041c0
hex25b646a2e

10123242030 has 128 divisors (see below), whose sum is σ = 29561241600. Its totient is φ = 2444803200.

The previous prime is 10123242029. The next prime is 10123242053. The reversal of 10123242030 is 3024232101.

10123242030 is a `hidden beast` number, since 10 + 1 + 232 + 420 + 3 + 0 = 666.

10123242030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10123241994 and 10123242012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792595 + ... + 805265.

It is an arithmetic number, because the mean of its divisors is an integer number (230947200).

Almost surely, 210123242030 is an apocalyptic number.

10123242030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123242030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780620800).

10123242030 is an abundant number, since it is smaller than the sum of its proper divisors (19437999570).

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

10123242030 is a wasteful number, since it uses less digits than its factorization.

10123242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10123242030 its reverse (3024232101), we get a palindrome (13147474131).

The spelling of 10123242030 in words is "ten billion, one hundred twenty-three million, two hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 269 270 297 330 495 538 594 807 990 1345 1485 1614 2421 2690 2959 2970 4035 4842 5918 7263 8070 8877 12105 12671 14526 14795 17754 24210 25342 26631 29590 36315 38013 44385 53262 63355 72630 76026 79893 88770 114039 126710 133155 139381 159786 190065 228078 266310 278762 342117 380130 399465 418143 570195 684234 696905 798930 836286 1140390 1254429 1393810 1710585 2090715 2508858 3408499 3421170 3763287 4181430 6272145 6816998 7526574 10225497 12544290 17042495 18816435 20450994 30676491 34084990 37493489 37632870 51127485 61352982 74986978 92029473 102254970 112480467 153382455 184058946 187467445 224960934 306764910 337441401 374934890 460147365 562402335 674882802 920294730 1012324203 1124804670 1687207005 2024648406 3374414010 5061621015 10123242030