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10104204114 = 233717433547
BaseRepresentation
bin10010110100100000…
…11110101101010010
3222002011211202022000
421122100132231102
5131143134012424
64350344054430
7505251214014
oct113220365522
928064752260
1010104204114
114315618114
121b5ba64416
13c50473704
146bbd2a1b4
153e20e33c9
hex25a41eb52

10104204114 has 64 divisors (see below), whose sum is σ = 22807111680. Its totient is φ = 3315226320.

The previous prime is 10104204091. The next prime is 10104204169. The reversal of 10104204114 is 41140240101.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2846889 + ... + 2850435.

It is an arithmetic number, because the mean of its divisors is an integer number (356361120).

Almost surely, 210104204114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104204114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403555840).

10104204114 is an abundant number, since it is smaller than the sum of its proper divisors (12702907566).

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

10104204114 is a wasteful number, since it uses less digits than its factorization.

10104204114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10104204114 its reverse (41140240101), we get a palindrome (51244444215).

The spelling of 10104204114 in words is "ten billion, one hundred four million, two hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 743 1278 1486 1917 2229 3547 3834 4458 6687 7094 10641 13374 20061 21282 31923 40122 52753 63846 95769 105506 158259 191538 251837 316518 474777 503674 755511 949554 1424331 1511022 2266533 2635421 2848662 4533066 5270842 6799599 7906263 13599198 15812526 23718789 47437578 71156367 142312734 187114891 374229782 561344673 1122689346 1684034019 3368068038 5052102057 10104204114