Search a number
-
+
12102112209990 = 23511191930161437
BaseRepresentation
bin1011000000011011111000…
…0110010110110001000110
31120211221200000012211102210
42300012332012112301012
53041240111211204430
641423344505044250
72356230423330435
oct260067606266106
946757600184383
1012102112209990
1139465279285a0
121435578a86686
1369a2bb9a390a
142dba6138711c
1515ec0c7d52b0
hexb01be196c46

12102112209990 has 64 divisors (see below), whose sum is σ = 33353189648640. Its totient is φ = 2779432467840.

The previous prime is 12102112209989. The next prime is 12102112210021. The reversal of 12102112209990 is 9990221120121.

It is a happy number.

It is a super-2 number, since 2×121021122099902 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965074449 + ... + 965086988.

It is an arithmetic number, because the mean of its divisors is an integer number (521143588260).

Almost surely, 212102112209990 is an apocalyptic number.

12102112209990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102112209990 is an abundant number, since it is smaller than the sum of its proper divisors (21251077438650).

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

12102112209990 is a wasteful number, since it uses less digits than its factorization.

12102112209990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930161477.

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 12102112209990 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 1930161437 3860322874 5790484311 9650807185 11580968622 19301614370 21231775807 28952421555 36673067303 42463551614 57904843110 63695327421 73346134606 106158879035 110019201909 127390654842 183365336515 212317758070 220038403818 318476637105 366730673030 403403740333 550096009545 636953274210 806807480666 1100192019090 1210211220999 2017018701665 2420422441998 4034037403330 6051056104995 12102112209990