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2312102001 = 3112192811193
BaseRepresentation
bin1000100111001111…
…1110000001110001
312222010121221200110
42021303332001301
514213344231001
61021232211533
7111203354106
oct21163760161
95863557613
102312102001
11a87137500
12546399ba9
132ab0216c1
1417d0dcaad
15d7eb23d6
hex89cfe071

2312102001 has 48 divisors (see below), whose sum is σ = 3582573120. Its totient is φ = 1321689600.

The previous prime is 2312101943. The next prime is 2312102021. The reversal of 2312102001 is 1002012132.

2312102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2312102001 is a nontrivial binomial coefficient, being equal to C(68002, 2).

It is not a de Polignac number, because 2312102001 - 211 = 2312099953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2312102021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1937461 + ... + 1938653.

It is an arithmetic number, because the mean of its divisors is an integer number (74636940).

Almost surely, 22312102001 is an apocalyptic number.

2312102001 is the 68001-st triangular number and also the 34001-st hexagonal number.

It is an amenable number.

2312102001 is a deficient number, since it is larger than the sum of its proper divisors (1270471119).

2312102001 is a wasteful number, since it uses less digits than its factorization.

2312102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2312102001 is about 48084.3217795572. The cubic root of 2312102001 is about 1322.3172491522.

Adding to 2312102001 its reverse (1002012132), we get a palindrome (3314114133).

The spelling of 2312102001 in words is "two billion, three hundred twelve million, one hundred two thousand, one".

Divisors: 1 3 11 19 33 57 121 209 281 363 627 843 1193 2299 3091 3579 5339 6897 9273 13123 16017 22667 34001 39369 58729 68001 102003 144353 176187 249337 335233 433059 646019 748011 1005699 1938057 2742707 3687563 6369427 8228121 11062689 19108281 40563193 70063697 121689579 210191091 770700667 2312102001