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1820312157 = 319312633917
BaseRepresentation
bin110110001111111…
…1100001001011101
311200212020102211210
41230133330021131
512211444442112
6500343335033
763052253346
oct15437741135
94625212753
101820312157
11854578514
12429751479
132301825b1
14133a830cd
15a9c1bb3c
hex6c7fc25d

1820312157 has 32 divisors (see below), whose sum is σ = 2647941120. Its totient is φ = 1108071360.

The previous prime is 1820312147. The next prime is 1820312167. The reversal of 1820312157 is 7512130281.

It is an interprime number because it is at equal distance from previous prime (1820312147) and next prime (1820312167).

It is not a de Polignac number, because 1820312157 - 27 = 1820312029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820312147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 462763 + ... + 466679.

It is an arithmetic number, because the mean of its divisors is an integer number (82748160).

Almost surely, 21820312157 is an apocalyptic number.

It is an amenable number.

1820312157 is a deficient number, since it is larger than the sum of its proper divisors (827628963).

1820312157 is a wasteful number, since it uses less digits than its factorization.

1820312157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1820312157 is about 42665.1163950129. The cubic root of 1820312157 is about 1220.9989482437.

The spelling of 1820312157 in words is "one billion, eight hundred twenty million, three hundred twelve thousand, one hundred fifty-seven".

Divisors: 1 3 19 31 57 93 263 589 789 1767 3917 4997 8153 11751 14991 24459 74423 121427 154907 223269 364281 464721 1030171 2307113 3090513 6921339 19573249 31935301 58719747 95805903 606770719 1820312157