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1304112103152 = 2431723411694779
BaseRepresentation
bin10010111110100011001…
…000110111111011110000
311121200010210222221021220
4102332203020313323300
5132331310144300102
62435033440145040
7163135053656325
oct22764310677360
94550123887256
101304112103152
11463086314151
121908b4608180
1395c92009581
1447195760b4c
1523dc9e411bc
hex12fa3237ef0

1304112103152 has 160 divisors (see below), whose sum is σ = 3813010951680. Its totient is φ = 381799587840.

The previous prime is 1304112103141. The next prime is 1304112103163. The reversal of 1304112103152 is 2513012114031.

It is an interprime number because it is at equal distance from previous prime (1304112103141) and next prime (1304112103163).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77902 + ... + 1616877.

It is an arithmetic number, because the mean of its divisors is an integer number (23831318448).

Almost surely, 21304112103152 is an apocalyptic number.

1304112103152 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 1304112103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906505475840).

1304112103152 is an abundant number, since it is smaller than the sum of its proper divisors (2508898848528).

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

1304112103152 is a wasteful number, since it uses less digits than its factorization.

1304112103152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694871 (or 1694865 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1304112103152 its reverse (2513012114031), we get a palindrome (3817124217183).

The spelling of 1304112103152 in words is "one trillion, three hundred four billion, one hundred twelve million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 41 46 48 51 68 69 82 92 102 123 136 138 164 184 204 246 272 276 328 368 391 408 492 552 656 697 782 816 943 984 1104 1173 1394 1564 1886 1968 2091 2346 2788 2829 3128 3772 4182 4692 5576 5658 6256 7544 8364 9384 11152 11316 15088 16031 16728 18768 22632 32062 33456 45264 48093 64124 96186 128248 192372 256496 384744 769488 1694779 3389558 5084337 6779116 10168674 13558232 20337348 27116464 28811243 38979917 40674696 57622486 69485939 77959834 81349392 86433729 115244972 116939751 138971878 155919668 172867458 208457817 230489944 233879502 277943756 311839336 345734916 416915634 460979888 467759004 555887512 623678672 662658589 691469832 833831268 935518008 1111775024 1181260963 1325317178 1382939664 1598176597 1667662536 1871036016 1987975767 2362521926 2650634356 3196353194 3335325072 3543782889 3975951534 4725043852 4794529791 5301268712 6392706388 7087565778 7951903068 9450087704 9589059582 10602537424 12785412776 14175131556 15903806136 18900175408 19178119164 25570825552 27169002149 28350263112 31807612272 38356238328 54338004298 56700526224 76712476656 81507006447 108676008596 163014012894 217352017192 326028025788 434704034384 652056051576 1304112103152