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21246344130 = 23511734871811
BaseRepresentation
bin10011110010011000…
…010111101111000010
32000211200202002222110
4103302120113233002
5322003031003010
613432130520150
71351334642154
oct236230275702
960750662873
1021246344130
1190130098a0
12414b436056
13200797747b
141057a3aad4
158453ad120
hex4f2617bc2

21246344130 has 128 divisors (see below), whose sum is σ = 56535791616. Its totient is φ = 5066841600.

The previous prime is 21246344111. The next prime is 21246344137. The reversal of 21246344130 is 3144364212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21246344137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11730925 + ... + 11732735.

It is an arithmetic number, because the mean of its divisors is an integer number (441685872).

Almost surely, 221246344130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21246344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28267895808).

21246344130 is an abundant number, since it is smaller than the sum of its proper divisors (35289447486).

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

21246344130 is a wasteful number, since it uses less digits than its factorization.

21246344130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 21246344130 in words is "twenty-one billion, two hundred forty-six million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 487 730 803 974 1095 1461 1606 1811 2190 2409 2435 2922 3622 4015 4818 4870 5357 5433 7305 8030 9055 10714 10866 12045 14610 16071 18110 19921 24090 26785 27165 32142 35551 39842 53570 54330 59763 71102 80355 99605 106653 119526 132203 160710 177755 199210 213306 264406 298815 355510 391061 396609 533265 597630 661015 782122 793218 881957 1066530 1173183 1322030 1454233 1763914 1955305 1983045 2346366 2645871 2908466 3910610 3966090 4362699 4409785 5291742 5865915 7271165 8725398 8819570 9701527 11731830 13229355 14542330 19403054 21813495 26458710 29104581 43626990 48507635 58209162 64382861 97015270 128765722 145522905 193148583 291045810 321914305 386297166 643828610 708211471 965742915 1416422942 1931485830 2124634413 3541057355 4249268826 7082114710 10623172065 21246344130