Search a number
-
+
1211110201992 = 2332331539913109
BaseRepresentation
bin10001100111111011110…
…010110001101010001000
311021210002100111211221010
4101213323302301222020
5124320323202430432
62324213142443520
7153333303601335
oct21477362615210
94253070454833
101211110201992
114276a1154309
1217687a4335a0
138a2902b8622
1442891cc398c
15217852973cc
hex119fbcb1a88

1211110201992 has 128 divisors (see below), whose sum is σ = 3262187520000. Its totient is φ = 373596875520.

The previous prime is 1211110201963. The next prime is 1211110201993. The reversal of 1211110201992 is 2991020111121.

It is not an unprimeable number, because it can be changed into a prime (1211110201993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92381134 + ... + 92394242.

It is an arithmetic number, because the mean of its divisors is an integer number (25485840000).

Almost surely, 21211110201992 is an apocalyptic number.

1211110201992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211110201992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631093760000).

1211110201992 is an abundant number, since it is smaller than the sum of its proper divisors (2051077318008).

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

1211110201992 is a wasteful number, since it uses less digits than its factorization.

1211110201992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18571 (or 18567 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 1211110201992 in words is "one trillion, two hundred eleven billion, one hundred ten million, two hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5399 5704 8556 10798 13109 16197 17112 21596 26218 32394 39327 43192 52436 64788 78654 104872 124177 129576 157308 167369 248354 301507 314616 334738 372531 406379 496708 502107 603014 669476 745062 812758 904521 993416 1004214 1206028 1219137 1338952 1490124 1625516 1809042 2008428 2412056 2438274 2980248 3251032 3618084 3849487 4016856 4876548 7236168 7698974 9346717 9753096 11548461 15397948 18693434 23096922 28040151 30795896 37386868 46193844 56080302 70775491 74773736 92387688 112160604 141550982 212326473 224321208 283101964 424652946 566203928 849305892 1627836293 1698611784 2194040221 3255672586 4388080442 4883508879 6511345172 6582120663 8776160884 9767017758 13022690344 13164241326 17552321768 19534035516 26328482652 39068071032 50462925083 52656965304 100925850166 151388775249 201851700332 302777550498 403703400664 605555100996 1211110201992