Search a number
-
+
111213112032 = 25321149970351
BaseRepresentation
bin110011110010011010…
…0010110101011100000
3101122001122002110020100
41213210310112223200
53310231024041112
6123031322542400
711014651566141
oct1474464265340
9348048073210
10111213112032
114318a9a2140
1219679067a00
13a644932589
145550367ac8
152d5d8732dc
hex19e4d16ae0

111213112032 has 144 divisors (see below), whose sum is σ = 345709728000. Its totient is φ = 33632928000.

The previous prime is 111213112001. The next prime is 111213112037. The reversal of 111213112032 is 230211312111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111213111996 and 111213112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111213112037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545657 + ... + 1616007.

It is an arithmetic number, because the mean of its divisors is an integer number (2400762000).

Almost surely, 2111213112032 is an apocalyptic number.

111213112032 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 111213112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172854864000).

111213112032 is an abundant number, since it is smaller than the sum of its proper divisors (234496615968).

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

111213112032 is a wasteful number, since it uses less digits than its factorization.

111213112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70877 (or 70866 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111213112032 its reverse (230211312111), we get a palindrome (341424424143).

The spelling of 111213112032 in words is "one hundred eleven billion, two hundred thirteen million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 499 528 792 998 1056 1497 1584 1996 2994 3168 3992 4491 5489 5988 7984 8982 10978 11976 15968 16467 17964 21956 23952 32934 35928 43912 47904 49401 65868 70351 71856 87824 98802 131736 140702 143712 175648 197604 211053 263472 281404 395208 422106 526944 562808 633159 773861 790416 844212 1125616 1266318 1547722 1580832 1688424 2251232 2321583 2532636 3095444 3376848 4643166 5065272 6190888 6753696 6964749 9286332 10130544 12381776 13929498 18572664 20261088 24763552 27858996 35105149 37145328 55717992 70210298 74290656 105315447 111435984 140420596 210630894 222871968 280841192 315946341 386156639 421261788 561682384 631892682 772313278 842523576 1123364768 1158469917 1263785364 1544626556 1685047152 2316939834 2527570728 3089253112 3370094304 3475409751 4633879668 5055141456 6178506224 6950819502 9267759336 10110282912 12357012448 13901639004 18535518672 27803278008 37071037344 55606556016 111213112032