Search a number
-
+
1112120100192 = 253431097245587
BaseRepresentation
bin10000001011101111100…
…001100000010101100000
310221022120120011122120110
4100023233201200111200
5121210110221201232
62210522333211320
7143230241610423
oct20135741402540
93838516148513
101112120100192
11399713892722
1215b652930b40
1380b45aa04aa
143bb810299ba
151dddea46acc
hex102ef860560

1112120100192 has 96 divisors (see below), whose sum is σ = 2989941558912. Its totient is φ = 361754072064.

The previous prime is 1112120100187. The next prime is 1112120100199. The reversal of 1112120100192 is 2910010212111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11121201001922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112120100199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405623 + ... + 4651209.

It is an arithmetic number, because the mean of its divisors is an integer number (31145224572).

Almost surely, 21112120100192 is an apocalyptic number.

1112120100192 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 1112120100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494970779456).

1112120100192 is an abundant number, since it is smaller than the sum of its proper divisors (1877821458720).

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

1112120100192 is a wasteful number, since it uses less digits than its factorization.

1112120100192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246740 (or 246732 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 1112120100192 in words is "one trillion, one hundred twelve billion, one hundred twenty million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1097 1376 2064 2194 3291 4128 4388 6582 8776 13164 17552 26328 35104 47171 52656 94342 105312 141513 188684 245587 283026 377368 491174 566052 736761 754736 982348 1132104 1473522 1509472 1964696 2264208 2947044 3929392 4528416 5894088 7858784 10560241 11788176 21120482 23576352 31680723 42240964 63361446 84481928 126722892 168963856 253445784 269408939 337927712 506891568 538817878 808226817 1013783136 1077635756 1616453634 2155271512 3232907268 4310543024 6465814536 8621086048 11584584377 12931629072 23169168754 25863258144 34753753131 46338337508 69507506262 92676675016 139015012524 185353350032 278030025048 370706700064 556060050096 1112120100192