Search a number
-
+
123010020 = 223257233419
BaseRepresentation
bin1110101010011…
…11101111100100
322120110120000200
413111033233210
5222442310040
620112310500
73022365540
oct725175744
9276416020
10123010020
1163488281
1235242430
131c63bcc3
14124a0a20
15abec630
hex754fbe4

123010020 has 144 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 27929088.

The previous prime is 123010007. The next prime is 123010033. The reversal of 123010020 is 20010321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123010007) and next prime (123010033).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 123009984 and 123010011.

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, 293371 + ... + 293789.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2123010020 is an apocalyptic number.

123010020 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 123010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

123010020 is an abundant number, since it is smaller than the sum of its proper divisors (306277020).

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

123010020 is a wasteful number, since it uses less digits than its factorization.

123010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123010020 is about 11090.9882336968. The cubic root of 123010020 is about 497.3324873944.

Adding to 123010020 its reverse (20010321), we get a palindrome (143020341).

The spelling of 123010020 in words is "one hundred twenty-three million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 233 252 315 419 420 466 630 699 838 932 1165 1257 1260 1398 1631 1676 2095 2097 2330 2514 2796 2933 3262 3495 3771 4190 4194 4660 4893 5028 5866 6285 6524 6990 7542 8155 8380 8388 8799 9786 10485 11732 12570 13980 14665 14679 15084 16310 17598 18855 19572 20970 24465 25140 26397 29330 29358 32620 35196 37710 41940 43995 48930 52794 58660 58716 73395 75420 87990 97627 97860 105588 131985 146790 175980 195254 263970 292881 293580 390508 488135 527940 585762 683389 878643 976270 1171524 1366778 1464405 1757286 1952540 2050167 2733556 2928810 3416945 3514572 4100334 4393215 5857620 6150501 6833890 8200668 8786430 10250835 12301002 13667780 17572860 20501670 24602004 30752505 41003340 61505010 123010020