Search a number
-
+
3111234243102 = 23217791271013399
BaseRepresentation
bin101101010001100100000…
…000110000101000011110
3102000102122021010022001200
4231101210000300220132
5401433301431234402
610341140431220330
7440531166502656
oct55214400605036
912012567108050
103111234243102
11a9a515690a07
12422b8a0776a6
1319750795066b
14aa827da1366
1555de4d8d21c
hex2d464030a1e

3111234243102 has 96 divisors (see below), whose sum is σ = 7284805632000. Its totient is φ = 956128852224.

The previous prime is 3111234243077. The next prime is 3111234243133. The reversal of 3111234243102 is 2013424321113.

3111234243102 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 2 + 342 + 4 + 310 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2563399 + ... + 3576797.

It is an arithmetic number, because the mean of its divisors is an integer number (75883392000).

Almost surely, 23111234243102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111234243102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642402816000).

3111234243102 is an abundant number, since it is smaller than the sum of its proper divisors (4173571388898).

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

3111234243102 is a wasteful number, since it uses less digits than its factorization.

3111234243102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013630 (or 1013627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3111234243102 its reverse (2013424321113), we get a palindrome (5124658564215).

The spelling of 3111234243102 in words is "three trillion, one hundred eleven billion, two hundred thirty-four million, two hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 127 153 158 237 254 306 381 474 711 762 1143 1343 1422 2159 2286 2686 4029 4318 6477 8058 10033 12087 12954 19431 20066 24174 30099 38862 60198 90297 170561 180594 341122 511683 1013399 1023366 1535049 2026798 3040197 3070098 6080394 9120591 17227783 18241182 34455566 51683349 80058521 103366698 128701673 155050047 160117042 240175563 257403346 310100094 386105019 480351126 720526689 772210038 1158315057 1360994857 1441053378 2187928441 2316630114 2721989714 4082984571 4375856882 6563785323 8165969142 10167432167 12248953713 13127570646 19691355969 20334864334 24497907426 30502296501 39382711938 61004593002 91506889503 172846346839 183013779006 345692693678 518539040517 1037078081034 1555617121551 3111234243102