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310230012132 = 2232471459125669
BaseRepresentation
bin1001000001110110010…
…01100101000011100100
31002122202110111111012100
410200323021211003210
520040322340342012
6354303453452100
731261534410525
oct4407311450344
91078673444170
10310230012132
1110a627832887
125015b4a1030
1323340380a21
141102da5a84c
15810a8538dc
hex483b2650e4

310230012132 has 72 divisors (see below), whose sum is σ = 801432777600. Its totient is φ = 101139617088.

The previous prime is 310230012119. The next prime is 310230012133. The reversal of 310230012132 is 231210032013.

310230012132 is a `hidden beast` number, since 310 + 2 + 300 + 1 + 21 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (310230012133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2405794 + ... + 2531462.

It is an arithmetic number, because the mean of its divisors is an integer number (11131010800).

Almost surely, 2310230012132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310230012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400716388800).

310230012132 is an abundant number, since it is smaller than the sum of its proper divisors (491202765468).

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

310230012132 is a wasteful number, since it uses less digits than its factorization.

310230012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127185 (or 127180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 310230012132 its reverse (231210032013), we get a palindrome (541440044145).

The spelling of 310230012132 in words is "three hundred ten billion, two hundred thirty million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1459 1692 2918 4377 5836 8754 13131 17508 26262 52524 68573 125669 137146 205719 251338 274292 377007 411438 502676 617157 754014 822876 1131021 1234314 1508028 2262042 2468628 4524084 5906443 11812886 17719329 23625772 35438658 53157987 70877316 106315974 183351071 212631948 366702142 550053213 733404284 1100106426 1650159639 2200212852 3300319278 6600638556 8617500337 17235000674 25852501011 34470001348 51705002022 77557503033 103410004044 155115006066 310230012132