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104452031412 = 22343771122719
BaseRepresentation
bin110000101000111010…
…0111000001110110100
3100222121102220222020000
41201101310320032310
53202404210001122
6115552401311300
710355263421631
oct1412164701664
9328542828200
10104452031412
11403304a3203
12182b0935530
139b07c8c661
1450ac441188
152ab50000ac
hex1851d383b4

104452031412 has 120 divisors (see below), whose sum is σ = 284390346240. Its totient is φ = 33398930880.

The previous prime is 104452031407. The next prime is 104452031417. The reversal of 104452031412 is 214130254401.

104452031412 is a `hidden beast` number, since 1 + 0 + 4 + 45 + 203 + 1 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (104452031407) and next prime (104452031417).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104452031417) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 789789 + ... + 912507.

It is an arithmetic number, because the mean of its divisors is an integer number (2369919552).

Almost surely, 2104452031412 is an apocalyptic number.

104452031412 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 104452031412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142195173120).

104452031412 is an abundant number, since it is smaller than the sum of its proper divisors (179938314828).

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

104452031412 is a wasteful number, since it uses less digits than its factorization.

104452031412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122843 (or 122832 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104452031412 its reverse (214130254401), we get a palindrome (318582285813).

The spelling of 104452031412 in words is "one hundred four billion, four hundred fifty-two million, thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 81 108 111 142 148 162 213 222 284 324 333 426 444 639 666 852 999 1278 1332 1917 1998 2556 2627 2997 3834 3996 5254 5751 5994 7668 7881 10508 11502 11988 15762 23004 23643 31524 47286 70929 94572 122719 141858 212787 245438 283716 368157 425574 490876 736314 851148 1104471 1472628 2208942 3313413 4417884 4540603 6626826 8713049 9081206 9940239 13253652 13621809 17426098 18162412 19880478 26139147 27243618 34852196 39760956 40865427 52278294 54487236 78417441 81730854 104556588 122596281 156834882 163461708 235252323 245192562 313669764 322382813 367788843 470504646 490385124 644765626 705756969 735577686 941009292 967148439 1289531252 1411513938 1471155372 1934296878 2823027876 2901445317 3868593756 5802890634 8704335951 11605781268 17408671902 26113007853 34817343804 52226015706 104452031412