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211201332144 = 243113710810879
BaseRepresentation
bin1100010010110010010…
…1001001001110110000
3202012010222120022111220
43010230211021032300
511430020020112034
6241005145305040
721154523463015
oct3045445111660
9665128508456
10211201332144
118162a7118a0
1234b22a95180
1316bbab7926a
14a3179dd70c
155761a32749
hex312c9493b0

211201332144 has 80 divisors (see below), whose sum is σ = 611290398720. Its totient is φ = 62270657280.

The previous prime is 211201332143. The next prime is 211201332149. The reversal of 211201332144 is 441233102112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211201332143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385904 + ... + 5424975.

It is an arithmetic number, because the mean of its divisors is an integer number (7641129984).

Almost surely, 2211201332144 is an apocalyptic number.

211201332144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211201332144 is an abundant number, since it is smaller than the sum of its proper divisors (400089066576).

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

211201332144 is a wasteful number, since it uses less digits than its factorization.

211201332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810938 (or 10810932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211201332144 its reverse (441233102112), we get a palindrome (652434434256).

It can be divided in two parts, 211201 and 332144, that added together give a palindrome (543345).

The spelling of 211201332144 in words is "two hundred eleven billion, two hundred one million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 10810879 21621758 32432637 43243516 64865274 86487032 118919669 129730548 172974064 237839338 259461096 356759007 400002523 475678676 518922192 713518014 800005046 951357352 1200007569 1427036028 1600010092 1902714704 2400015138 2854072056 3200020184 4400027753 4800030276 5708144112 6400040368 8800055506 9600060552 13200083259 17600111012 19200121104 26400166518 35200222024 52800333036 70400444048 105600666072 211201332144