Search a number
-
+
10321402410 = 23251117775867
BaseRepresentation
bin10011001110011010…
…00001101000101010
3222122022112120100100
421213031001220222
5132114234334120
64424103250230
7513526321134
oct114715015052
928568476310
1010321402410
114417187440
122000749976
13c8646cb07
146dcb08054
154061e8490
hex267341a2a

10321402410 has 96 divisors (see below), whose sum is σ = 29296717632. Its totient is φ = 2500323840.

The previous prime is 10321402409. The next prime is 10321402493. The reversal of 10321402410 is 1420412301.

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 47 ways as a sum of consecutive naturals, for example, 1756297 + ... + 1762163.

It is an arithmetic number, because the mean of its divisors is an integer number (305174142).

Almost surely, 210321402410 is an apocalyptic number.

10321402410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321402410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14648358816).

10321402410 is an abundant number, since it is smaller than the sum of its proper divisors (18975315222).

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

10321402410 is a wasteful number, since it uses less digits than its factorization.

10321402410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10321402410 its reverse (1420412301), we get a palindrome (11741814711).

The spelling of 10321402410 in words is "ten billion, three hundred twenty-one million, four hundred two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1777 3554 5331 5867 8885 10662 11734 15993 17601 17770 19547 26655 29335 31986 35202 39094 52803 53310 58641 58670 64537 79965 88005 97735 105606 117282 129074 159930 175923 176010 193611 195470 264015 293205 322685 351846 387222 528030 580833 586410 645370 879615 968055 1161666 1759230 1936110 2904165 5808330 10425659 20851318 31276977 52128295 62553954 93830931 104256590 114682249 156384885 187661862 229364498 312769770 344046747 469154655 573411245 688093494 938309310 1032140241 1146822490 1720233735 2064280482 3440467470 5160701205 10321402410