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151105020 = 223511283809
BaseRepresentation
bin10010000000110…
…10110111111100
3101112022221010020
421000122313330
5302140330040
622554412140
73513241263
oct1100326774
9345287106
10151105020
1178327490
1242731050
13253c7b71
14160d55da
15d3ebcd0
hex901adfc

151105020 has 96 divisors (see below), whose sum is σ = 463760640. Its totient is φ = 36456960.

The previous prime is 151105007. The next prime is 151105021. The reversal of 151105020 is 20501151.

151105020 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

151105020 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151105021) 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, 186376 + ... + 187184.

It is an arithmetic number, because the mean of its divisors is an integer number (4830840).

Almost surely, 2151105020 is an apocalyptic number.

151105020 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 151105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231880320).

151105020 is an abundant number, since it is smaller than the sum of its proper divisors (312655620).

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

151105020 is a wasteful number, since it uses less digits than its factorization.

151105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 151105020 is about 12292.4781879001. The cubic root of 151105020 is about 532.6308259306.

Adding to 151105020 its reverse (20501151), we get a palindrome (171606171).

The spelling of 151105020 in words is "one hundred fifty-one million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 283 330 566 660 809 849 1132 1415 1618 1698 2427 2830 3113 3236 3396 4045 4245 4854 5660 6226 8090 8490 8899 9339 9708 12135 12452 15565 16180 16980 17798 18678 24270 26697 31130 35596 37356 44495 46695 48540 53394 62260 88990 93390 106788 133485 177980 186780 228947 266970 457894 533940 686841 915788 1144735 1373682 2289470 2518417 2747364 3434205 4578940 5036834 6868410 7555251 10073668 12592085 13736820 15110502 25184170 30221004 37776255 50368340 75552510 151105020