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212102103120 = 2435883758763
BaseRepresentation
bin1100010110001001000…
…1010100000001010000
3202021110202112012222220
43011202101110001100
511433341114244440
6241234404101040
721216042062325
oct3054221240120
9667422465886
10212102103120
1181a52120416
1235134694780
131700268283b
14a3a14bab4c
1557b5b628d0
hex3162454050

212102103120 has 40 divisors (see below), whose sum is σ = 657516520416. Its totient is φ = 56560560768.

The previous prime is 212102103091. The next prime is 212102103131. The reversal of 212102103120 is 21301201212.

Adding to 212102103120 its reverse (21301201212), we get a palindrome (233403304332).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2121021031202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212102103120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441879142 + ... + 441879621.

Almost surely, 2212102103120 is an apocalyptic number.

212102103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102103120 is an abundant number, since it is smaller than the sum of its proper divisors (445414417296).

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

212102103120 is a wasteful number, since it uses less digits than its factorization.

212102103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883758779 (or 883758773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The spelling of 212102103120 in words is "two hundred twelve billion, one hundred two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 883758763 1767517526 2651276289 3535035052 4418793815 5302552578 7070070104 8837587630 10605105156 13256381445 14140140208 17675175260 21210210312 26512762890 35350350520 42420420624 53025525780 70700701040 106051051560 212102103120