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21402312320 = 2751031492179
BaseRepresentation
bin10011111011101011…
…010101111010000000
32001020120020010010002
4103323223111322000
5322312442443240
613455421455132
71355240440004
oct237353257200
961216203102
1021402312320
119093058024
1241937114a8
132031085a3c
14107063a704
15853e1ad15
hex4fbad5e80

21402312320 has 128 divisors (see below), whose sum is σ = 52032240000. Its totient is φ = 8417046528.

The previous prime is 21402312317. The next prime is 21402312361. The reversal of 21402312320 is 2321320412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21402312292 and 21402312301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9820991 + ... + 9823169.

It is an arithmetic number, because the mean of its divisors is an integer number (406501875).

Almost surely, 221402312320 is an apocalyptic number.

21402312320 is a gapful number since it is divisible by the number (20) 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 21402312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016120000).

21402312320 is an abundant number, since it is smaller than the sum of its proper divisors (30629927680).

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

21402312320 is a wasteful number, since it uses less digits than its factorization.

21402312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21402312320 its reverse (2321320412), we get a palindrome (23723632732).

The spelling of 21402312320 in words is "twenty-one billion, four hundred two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 149 160 206 298 320 412 515 596 640 745 824 1030 1192 1490 1648 2060 2179 2384 2980 3296 4120 4358 4768 5960 6592 8240 8716 9536 10895 11920 13184 15347 16480 17432 19072 21790 23840 30694 32960 34864 43580 47680 61388 65920 69728 76735 87160 95360 122776 139456 153470 174320 224437 245552 278912 306940 324671 348640 448874 491104 613880 649342 697280 897748 982208 1122185 1227760 1298684 1394560 1623355 1795496 1964416 2244370 2455520 2597368 3246710 3590992 4488740 4911040 5194736 6493420 7181984 8977480 9822080 10389472 12986840 14363968 17954960 20778944 25973680 28727936 33441113 35909920 41557888 51947360 66882226 71819840 103894720 133764452 143639680 167205565 207789440 267528904 334411130 535057808 668822260 1070115616 1337644520 2140231232 2675289040 4280462464 5350578080 10701156160 21402312320