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151271145220 = 225131734224241
BaseRepresentation
bin1000110011100001110…
…1100111111100000100
3112110110100100101022011
42030320131213330010
54434300403121340
6153254253344004
713633432342666
oct2147035477404
9473410311264
10151271145220
1159176688398
1225398498004
1311359a237b0
147470520536
153e054c00ea
hex2338767f04

151271145220 has 48 divisors (see below), whose sum is σ = 362229377328. Its totient is φ = 52568432640.

The previous prime is 151271145149. The next prime is 151271145269. The reversal of 151271145220 is 22541172151.

151271145220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14323781124 + 136947364096 = 119682^2 + 370064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17107701 + ... + 17116540.

It is an arithmetic number, because the mean of its divisors is an integer number (7546445361).

Almost surely, 2151271145220 is an apocalyptic number.

151271145220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151271145220 is an abundant number, since it is smaller than the sum of its proper divisors (210958232108).

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

151271145220 is a wasteful number, since it uses less digits than its factorization.

151271145220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34224280 (or 34224278 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 151271145220 in words is "one hundred fifty-one billion, two hundred seventy-one million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 34224241 68448482 136896964 171121205 342242410 444915133 581812097 684484820 889830266 1163624194 1779660532 2224575665 2327248388 2909060485 4449151330 5818120970 7563557261 8898302660 11636241940 15127114522 30254229044 37817786305 75635572610 151271145220