Search a number
-
+
123031020 = 22357535527
BaseRepresentation
bin1110101010101…
…00110111101100
322120111121211110
413111110313230
5222443443040
620112552020
73022514010
oct725246754
9276447743
10123031020
11634a2032
1235252610
131c648728
14124a8540
15ac03980
hex7554dec

123031020 has 96 divisors (see below), whose sum is σ = 401200128. Its totient is φ = 27585792.

The previous prime is 123030959. The next prime is 123031081. The reversal of 123031020 is 20130321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123030959) and next prime (123031081).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123030987 and 123031005.

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, 19497 + ... + 25023.

It is an arithmetic number, because the mean of its divisors is an integer number (4179168).

Almost surely, 2123031020 is an apocalyptic number.

123031020 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 123031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200600064).

123031020 is an abundant number, since it is smaller than the sum of its proper divisors (278169108).

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

123031020 is a wasteful number, since it uses less digits than its factorization.

123031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123031020 is about 11091.9349078508. The cubic root of 123031020 is about 497.3607869534.

Adding to 123031020 its reverse (20130321), we get a palindrome (143161341).

The spelling of 123031020 in words is "one hundred twenty-three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5527 5565 7420 11054 11130 16581 22108 22260 27635 33162 38689 55270 66324 77378 82905 110540 116067 154756 165810 193445 232134 292931 331620 386890 464268 580335 585862 773780 878793 1160670 1171724 1464655 1757586 2050517 2321340 2929310 3515172 4101034 4393965 5858620 6151551 8202068 8787930 10252585 12303102 17575860 20505170 24606204 30757755 41010340 61515510 123031020