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150605610100 = 225211294721179
BaseRepresentation
bin1000110001000011001…
…0110011110001110100
3112101201222000200202021
42030100302303301310
54431420014010400
6153104240522524
713611101364241
oct2142062636164
9471658020667
10150605610100
1158964a38a70
1225231620444
1311281b9072a
147409d985c8
153db6d5971a
hex2310cb3c74

150605610100 has 72 divisors (see below), whose sum is σ = 368818581600. Its totient is φ = 52877193600.

The previous prime is 150605610091. The next prime is 150605610119. The reversal of 150605610100 is 1016506051.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2328690 + ... + 2392489.

It is an arithmetic number, because the mean of its divisors is an integer number (5122480300).

Almost surely, 2150605610100 is an apocalyptic number.

150605610100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150605610100 is an abundant number, since it is smaller than the sum of its proper divisors (218212971500).

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

150605610100 is a wasteful number, since it uses less digits than its factorization.

150605610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721233 (or 4721226 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 150605610100 in words is "one hundred fifty billion, six hundred five million, six hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 4721179 9442358 18884716 23605895 47211790 51932969 94423580 103865938 118029475 136914191 207731876 236058950 259664845 273828382 472117900 519329690 547656764 684570955 1038659380 1298324225 1369141910 1506056101 2596648450 2738283820 3012112202 3422854775 5193296900 6024224404 6845709550 7530280505 13691419100 15060561010 30121122020 37651402525 75302805050 150605610100