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122603052 = 2231113371931
BaseRepresentation
bin1110100111011…
…00011000101100
322112200212202210
413103230120230
5222341244202
620055450420
73016052205
oct723543054
9275625683
10122603052
116322a540
1235086a10
131c5289b0
14123d65ac
15ab6bc6c
hex74ec62c

122603052 has 96 divisors (see below), whose sum is σ = 345348864. Its totient is φ = 33350400.

The previous prime is 122603051. The next prime is 122603077. The reversal of 122603052 is 250306221.

It is not an unprimeable number, because it can be changed into a prime (122603051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62527 + ... + 64457.

It is an arithmetic number, because the mean of its divisors is an integer number (3597384).

Almost surely, 2122603052 is an apocalyptic number.

122603052 is a gapful number since it is divisible by the number (12) 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 122603052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172674432).

122603052 is an abundant number, since it is smaller than the sum of its proper divisors (222745812).

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

122603052 is a wasteful number, since it uses less digits than its factorization.

122603052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 122603052 is about 11072.6262467402. The cubic root of 122603052 is about 496.7834209450.

Adding to 122603052 its reverse (250306221), we get a palindrome (372909273).

The spelling of 122603052 in words is "one hundred twenty-two million, six hundred three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 52 66 74 78 111 132 143 148 156 222 286 407 429 444 481 572 814 858 962 1221 1443 1628 1716 1924 1931 2442 2886 3862 4884 5291 5772 5793 7724 10582 11586 15873 21164 21241 23172 25103 31746 42482 50206 63492 63723 71447 75309 84964 100412 127446 142894 150618 214341 254892 276133 285788 301236 428682 552266 785917 828399 857364 928811 1104532 1571834 1656798 1857622 2357751 2786433 3143668 3313596 3715244 4715502 5572866 9431004 10216921 11145732 20433842 30650763 40867684 61301526 122603052