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123034311420 = 223537421131641
BaseRepresentation
bin111001010010101101…
…0101001101011111100
3102202120110202121020220
41302211122221223330
54003433240431140
6132304324141340
711613622251246
oct1624532515374
9382513677226
10123034311420
11481a6730209
121ba17b37850
13b7a9a23107
145d52321096
153301575bd0
hex1ca56a9afc

123034311420 has 96 divisors (see below), whose sum is σ = 354649866816. Its totient is φ = 31846348800.

The previous prime is 123034311419. The next prime is 123034311431. The reversal of 123034311420 is 24113430321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868800 + ... + 1000440.

It is an arithmetic number, because the mean of its divisors is an integer number (3694269446).

Almost surely, 2123034311420 is an apocalyptic number.

123034311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123034311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177324933408).

123034311420 is an abundant number, since it is smaller than the sum of its proper divisors (231615555396).

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

123034311420 is a wasteful number, since it uses less digits than its factorization.

123034311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132111 (or 132109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123034311420 its reverse (24113430321), we get a palindrome (147147741741).

The spelling of 123034311420 in words is "one hundred twenty-three billion, thirty-four million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 421 444 555 740 842 1110 1263 1684 2105 2220 2526 4210 5052 6315 8420 12630 15577 25260 31154 46731 62308 77885 93462 131641 155770 186924 233655 263282 311540 394923 467310 526564 658205 789846 934620 1316410 1579692 1974615 2632820 3949230 4870717 7898460 9741434 14612151 19482868 24353585 29224302 48707170 55420861 58448604 73060755 97414340 110841722 146121510 166262583 221683444 277104305 292243020 332525166 554208610 665050332 831312915 1108417220 1662625830 2050571857 3325251660 4101143714 6151715571 8202287428 10252859285 12303431142 20505718570 24606862284 30758577855 41011437140 61517155710 123034311420