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2103407291412 = 223571512047303
BaseRepresentation
bin11110100110111100110…
…110000010110000010100
321110002021001220112100000
4132212330312002300110
5233430234231311122
64250143022051300
7304652251656540
oct36467466026024
97402231815300
102103407291412
117410606423a9
1229b7a2a19b30
13123472c5067b
1473b3c258a20
1539aab4100ac
hex1e9bcd82c14

2103407291412 has 144 divisors (see below), whose sum is σ = 6343301199872. Its totient is φ = 596993263200.

The previous prime is 2103407291357. The next prime is 2103407291437. The reversal of 2103407291412 is 2141927043012.

2103407291412 is a `hidden beast` number, since 2 + 10 + 340 + 7 + 291 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3753 + ... + 2051055.

Almost surely, 22103407291412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103407291412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171650599936).

2103407291412 is an abundant number, since it is smaller than the sum of its proper divisors (4239893908460).

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

2103407291412 is a wasteful number, since it uses less digits than its factorization.

2103407291412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047480 (or 2047466 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2103407291412 in words is "two trillion, one hundred three billion, four hundred seven million, two hundred ninety-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 151 162 189 243 252 302 324 378 453 486 567 604 756 906 972 1057 1134 1359 1701 1812 2114 2268 2718 3171 3402 4077 4228 5436 6342 6804 8154 9513 12231 12684 16308 19026 24462 28539 36693 38052 48924 57078 73386 85617 114156 146772 171234 256851 342468 513702 1027404 2047303 4094606 6141909 8189212 12283818 14331121 18425727 24567636 28662242 36851454 42993363 55277181 57324484 73702908 85986726 110554362 128980089 165831543 171973452 221108724 257960178 309142753 331663086 386940267 497494629 515920356 618285506 663326172 773880534 927428259 994989258 1160820801 1236571012 1547761068 1854856518 1989978516 2163999271 2321641602 2782284777 3482462403 3709713036 4327998542 4643283204 5564569554 6491997813 6964924806 8346854331 8655997084 11129139108 12983995626 13929849612 16693708662 19475993439 25040562993 25967991252 33387417324 38951986878 50081125986 58427980317 75121688979 77903973756 100162251972 116855960634 150243377958 175283940951 233711921268 300486755916 350567881902 525851822853 701135763804 1051703645706 2103407291412