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21123421410 = 23571319314007
BaseRepresentation
bin10011101011000011…
…011101010011100010
32000112010102222201010
4103223003131103202
5321230043441120
613412020121350
71345313055660
oct235303352342
960463388633
1021123421410
118a5a691173
124116236256
131cb8369130
14104559dc30
158396cb7e0
hex4eb0dd4e2

21123421410 has 128 divisors (see below), whose sum is σ = 62443229184. Its totient is φ = 4453390080.

The previous prime is 21123421409. The next prime is 21123421411. The reversal of 21123421410 is 1412432112.

21123421410 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (21123421409) and next prime (21123421411).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21123421411) 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, 5269627 + ... + 5273633.

It is an arithmetic number, because the mean of its divisors is an integer number (487837728).

Almost surely, 221123421410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123421410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31221614592).

21123421410 is an abundant number, since it is smaller than the sum of its proper divisors (41319807774).

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

21123421410 is a wasteful number, since it uses less digits than its factorization.

21123421410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21123421410 its reverse (1412432112), we get a palindrome (22535853522).

The spelling of 21123421410 in words is "twenty-one billion, one hundred twenty-three million, four hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1931 2730 3862 4007 5793 8014 9655 11586 12021 13517 19310 20035 24042 25103 27034 28049 28965 40070 40551 50206 52091 56098 57930 60105 67585 75309 81102 84147 104182 120210 125515 135170 140245 150618 156273 168294 175721 202755 251030 260455 280490 312546 351442 364637 376545 405510 420735 520910 527163 729274 753090 781365 841470 878605 1054326 1093911 1562730 1757210 1823185 2187822 2635815 3646370 5271630 5469555 7737517 10939110 15475034 23212551 38687585 46425102 54162619 77375170 100587721 108325238 116062755 162487857 201175442 232125510 270813095 301763163 324975714 502938605 541626190 603526326 704114047 812439285 1005877210 1408228094 1508815815 1624878570 2112342141 3017631630 3520570235 4224684282 7041140470 10561710705 21123421410