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211352001441240 = 233511160115152607
BaseRepresentation
bin110000000011100100111000…
…111101111110110111011000
31000201100001110101002200111010
4300003210320331332313120
5210200242344332104430
62025301434041333520
762342451423423102
oct6003447075766730
91021301411080433
10211352001441240
1161385975972a80
121b8555257972a0
1390c153cb118ba
143a296c4780572
151967b3d346cb0
hexc03938f7edd8

211352001441240 has 64 divisors (see below), whose sum is σ = 691697459266560. Its totient is φ = 51236848833920.

The previous prime is 211352001441233. The next prime is 211352001441283. The reversal of 211352001441240 is 42144100253112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211352001441198 and 211352001441207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80057574984 + ... + 80057577623.

It is an arithmetic number, because the mean of its divisors is an integer number (10807772801040).

Almost surely, 2211352001441240 is an apocalyptic number.

211352001441240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211352001441240 is an abundant number, since it is smaller than the sum of its proper divisors (480345457825320).

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

211352001441240 is a wasteful number, since it uses less digits than its factorization.

211352001441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160115152632 (or 160115152628 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 211352001441240 its reverse (42144100253112), we get a palindrome (253496101694352).

The spelling of 211352001441240 in words is "two hundred eleven trillion, three hundred fifty-two billion, one million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 160115152607 320230305214 480345457821 640460610428 800575763035 960690915642 1280921220856 1601151526070 1761266678677 1921381831284 2401727289105 3202303052140 3522533357354 3842763662568 4803454578210 5283800036031 6404606104280 7045066714708 8806333393385 9606909156420 10567600072062 14090133429416 17612666786770 19213818312840 21135200144124 26419000180155 35225333573540 42270400288248 52838000360310 70450667147080 105676000720620 211352001441240