Search a number
-
+
201213312102 = 232112344183863
BaseRepresentation
bin1011101101100100111…
…1110111110001100110
3201020100220100022210200
42323121033313301212
511244041101441402
6232234111331330
720352152635035
oct2733117676146
9636326308720
10201213312102
117837473a580
1232bb5b20b46
1315c887c492a
149a4b2b871c
155379c3e21c
hex2ed93f7c66

201213312102 has 48 divisors (see below), whose sum is σ = 496273160448. Its totient is φ = 58322697840.

The previous prime is 201213312089. The next prime is 201213312133.

201213312102 is a `hidden beast` number, since 2 + 0 + 121 + 331 + 210 + 2 = 666.

201213312102 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22087378 + ... + 22096485.

It is an arithmetic number, because the mean of its divisors is an integer number (10339024176).

Almost surely, 2201213312102 is an apocalyptic number.

201213312102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201213312102 is an abundant number, since it is smaller than the sum of its proper divisors (295059848346).

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

201213312102 is a wasteful number, since it uses less digits than its factorization.

201213312102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44183905 (or 44183902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 201213 and 312102, that added together give a palindrome (513315).

The spelling of 201213312102 in words is "two hundred one billion, two hundred thirteen million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 44183863 88367726 132551589 265103178 397654767 486022493 795309534 972044986 1016228849 1458067479 2032457698 2916134958 3048686547 4374202437 6097373094 8748404874 9146059641 11178517339 18292119282 22357034678 33535552017 67071104034 100606656051 201213312102