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123021113130 = 232523316973457
BaseRepresentation
bin111001010010010100…
…0010011011100101010
3102202112112221001121100
41302210220103130222
54003421401110010
6132303133222230
711613402131256
oct1624450233452
9382475831540
10123021113130
114819a236133
121ba13631976
13b7a7081886
145d50687266
15330031a2c0
hex1ca4a1372a

123021113130 has 96 divisors (see below), whose sum is σ = 321509929104. Its totient is φ = 32636141568.

The previous prime is 123021113119. The next prime is 123021113141. The reversal of 123021113130 is 31311120321.

It is an interprime number because it is at equal distance from previous prime (123021113119) and next prime (123021113141).

It can be written as a sum of positive squares in 8 ways, for example, as 30204006849 + 92817106281 = 173793^2 + 304659^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 35584362 + ... + 35587818.

Almost surely, 2123021113130 is an apocalyptic number.

123021113130 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 123021113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160754964552).

123021113130 is an abundant number, since it is smaller than the sum of its proper divisors (198488815974).

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

123021113130 is a wasteful number, since it uses less digits than its factorization.

123021113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123021113130 its reverse (31311120321), we get a palindrome (154332233451).

The spelling of 123021113130 in words is "one hundred twenty-three billion, twenty-one million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 1697 2097 2330 3394 3457 3495 4194 5091 6914 6990 8485 10182 10371 10485 15273 16970 17285 20742 20970 25455 30546 31113 34570 50910 51855 62226 76365 103710 152730 155565 311130 395401 790802 805481 1186203 1610962 1977005 2372406 2416443 3558609 3954010 4027405 4832886 5866529 5931015 7117218 7249329 8054810 11733058 11862030 12082215 14498658 17599587 17793045 24164430 29332645 35199174 35586090 36246645 52798761 58665290 72493290 87997935 105597522 175995870 263993805 527987610 1366901257 2733802514 4100703771 6834506285 8201407542 12302111313 13669012570 20503518855 24604222626 41007037710 61510556565 123021113130