Search a number
-
+
1111200120212 = 2271353493111681
BaseRepresentation
bin10000001010111000101…
…100000011110110010100
310221020012110001211021212
4100022320230003312110
5121201214212321322
62210251151000552
7143165401115150
oct20127054036624
93836173054255
101111200120212
11399291554096
1215b436809158
1380a2a2cc840
143bad4b8c060
151dd88dc00e2
hex102b8b03d94

1111200120212 has 96 divisors (see below), whose sum is σ = 2439215057664. Its totient is φ = 431177011200.

The previous prime is 1111200120179. The next prime is 1111200120227. The reversal of 1111200120212 is 2120210021111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95123012 + ... + 95134692.

It is an arithmetic number, because the mean of its divisors is an integer number (25408490184).

Almost surely, 21111200120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111200120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219607528832).

1111200120212 is an abundant number, since it is smaller than the sum of its proper divisors (1328014937452).

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

1111200120212 is a wasteful number, since it uses less digits than its factorization.

1111200120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1111200120212 its reverse (2120210021111), we get a palindrome (3231410141323).

The spelling of 1111200120212 in words is "one trillion, one hundred eleven billion, two hundred million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 2756 4823 4931 9646 9862 11681 19292 19724 23362 34517 46724 64103 69034 81767 128206 138068 151853 163534 256412 261343 303706 327068 448721 522686 607412 619093 897442 1045372 1062971 1238186 1794884 1829401 2125942 2476372 3397459 3658802 4251884 4333651 6794918 7317604 8048209 8667302 13589836 16096418 17334604 23782213 32192836 47564426 56337463 57599011 95128852 112674926 115198022 225349852 230396044 403193077 748787143 806386154 1497574286 1612772308 2995148572 3052747583 5241510001 6105495166 10483020002 12210990332 20966040004 21369233081 39685718579 42738466162 79371437158 85476932324 158742874316 277800030053 555600060106 1111200120212