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212101101240 = 23357252501311
BaseRepresentation
bin1100010110001000110…
…1011111011010111000
3202021110200122022200020
43011202031133122320
511433340340214430
6241234330410440
721216030420360
oct3054215373270
9667420568606
10212101101240
1181a515a6716
1235134290a20
13170023c1802
14a3a12d99a0
1557b5a15b10
hex316235f6b8

212101101240 has 64 divisors (see below), whose sum is σ = 727203778560. Its totient is φ = 48480251520.

The previous prime is 212101101209. The next prime is 212101101241. The reversal of 212101101240 is 42101101212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101101241) 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, 126249816 + ... + 126251495.

It is an arithmetic number, because the mean of its divisors is an integer number (11362559040).

Almost surely, 2212101101240 is an apocalyptic number.

212101101240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101101240 is an abundant number, since it is smaller than the sum of its proper divisors (515102677320).

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

212101101240 is a wasteful number, since it uses less digits than its factorization.

212101101240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252501332 (or 252501328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212101101240 its reverse (42101101212), we get a palindrome (254202202452).

The spelling of 212101101240 in words is "two hundred twelve billion, one hundred one million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 252501311 505002622 757503933 1010005244 1262506555 1515007866 1767509177 2020010488 2525013110 3030015732 3535018354 3787519665 5050026220 5302527531 6060031464 7070036708 7575039330 8837545885 10100052440 10605055062 14140073416 15150078660 17675091770 21210110124 26512637655 30300157320 35350183540 42420220248 53025275310 70700367080 106050550620 212101101240