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101112110196 = 2231712717921803
BaseRepresentation
bin101111000101011000…
…0000101110001110100
3100122222200021101122020
41132022300011301310
53124034200011241
6114241131233140
710206436520166
oct1361260056164
9318880241566
10101112110196
1139977171a39
121771a2a87b0
1396c5040606
144c72a32936
15296bbb3b66
hex178ac05c74

101112110196 has 96 divisors (see below), whose sum is σ = 253191536640. Its totient is φ = 31294416384.

The previous prime is 101112110131. The next prime is 101112110201. The reversal of 101112110196 is 691011211101.

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, 4626631 + ... + 4648433.

It is an arithmetic number, because the mean of its divisors is an integer number (2637411840).

Almost surely, 2101112110196 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 101112110196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126595768320).

101112110196 is an abundant number, since it is smaller than the sum of its proper divisors (152079426444).

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

101112110196 is a wasteful number, since it uses less digits than its factorization.

101112110196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22133 (or 22131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 24.

Adding to 101112110196 its reverse (691011211101), we get a palindrome (792123321297).

The spelling of 101112110196 in words is "one hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 179 204 254 358 381 508 537 716 762 1074 1524 2148 2159 3043 4318 6086 6477 8636 9129 12172 12954 18258 21803 22733 25908 36516 43606 45466 65409 68199 87212 90932 130818 136398 261636 272796 370651 386461 741302 772922 1111953 1159383 1482604 1545844 2223906 2318766 2768981 3902737 4447812 4637532 5537962 7805474 8306943 11075924 11708211 15610948 16613886 23416422 33227772 46832844 47072677 66346529 94145354 132693058 141218031 188290708 199039587 265386116 282436062 398079174 495647599 564872124 796158348 991295198 1486942797 1982590396 2973885594 5947771188 8426009183 16852018366 25278027549 33704036732 50556055098 101112110196