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104111212032 = 293326927997
BaseRepresentation
bin110000011110110000…
…0110000011000000000
3100221201200121112221000
41200331200300120000
53201204432241112
6115454504332000
710343654462262
oct1407540603000
9327650545830
10104111212032
11401760795a3
1218216774000
139a8249c099
145079083b32
152a9512b7dc
hex183d830600

104111212032 has 160 divisors (see below), whose sum is σ = 309333103200. Its totient is φ = 34573492224.

The previous prime is 104111212019. The next prime is 104111212039. The reversal of 104111212032 is 230212111401.

104111212032 is a `hidden beast` number, since 10 + 411 + 1 + 212 + 0 + 32 = 666.

104111212032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 104111211996 and 104111212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104111212039) 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, 3704658 + ... + 3732654.

It is an arithmetic number, because the mean of its divisors is an integer number (1933331895).

Almost surely, 2104111212032 is an apocalyptic number.

104111212032 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 104111212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154666551600).

104111212032 is an abundant number, since it is smaller than the sum of its proper divisors (205221891168).

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

104111212032 is an equidigital number, since it uses as much as digits as its factorization.

104111212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28293 (or 28271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104111212032 its reverse (230212111401), we get a palindrome (334323323433).

The spelling of 104111212032 in words is "one hundred four billion, one hundred eleven million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 269 288 384 432 512 538 576 768 807 864 1076 1152 1536 1614 1728 2152 2304 2421 3228 3456 4304 4608 4842 6456 6912 7263 8608 9684 12912 13824 14526 17216 19368 25824 27997 29052 34432 38736 51648 55994 58104 68864 77472 83991 103296 111988 116208 137728 154944 167982 206592 223976 232416 251973 309888 335964 413184 447952 464832 503946 619776 671928 755919 895904 929664 1007892 1239552 1343856 1511838 1791808 1859328 2015784 2687712 3023676 3583616 3718656 4031568 5375424 6047352 7167232 7531193 8063136 10750848 12094704 14334464 15062386 16126272 21501696 22593579 24189408 30124772 32252544 43003392 45187158 48378816 60249544 64505088 67780737 90374316 96757632 120499088 129010176 135561474 180748632 193515264 203342211 240998176 271122948 361497264 387030528 406684422 481996352 542245896 722994528 813368844 963992704 1084491792 1445989056 1626737688 1927985408 2168983584 2891978112 3253475376 3855970816 4337967168 5783956224 6506950752 8675934336 11567912448 13013901504 17351868672 26027803008 34703737344 52055606016 104111212032