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21000233144 = 23111779177691
BaseRepresentation
bin10011100011101101…
…100010000010111000
32000012112122101011202
4103203231202002320
5321002024430034
613351455513332
71342256015342
oct234355420270
960175571152
1021000233144
1189a70a1a90
1240a0b28848
131c98996c77
141033094292
1582d99647e
hex4e3b620b8

21000233144 has 64 divisors (see below), whose sum is σ = 46057766400. Its totient is φ = 8870284800.

The previous prime is 21000233141. The next prime is 21000233147. The reversal of 21000233144 is 44133200012.

It is an interprime number because it is at equal distance from previous prime (21000233141) and next prime (21000233147).

It is a super-2 number, since 2×210002331442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000233141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29339 + ... + 207029.

It is an arithmetic number, because the mean of its divisors is an integer number (719652600).

Almost surely, 221000233144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028883200).

21000233144 is an abundant number, since it is smaller than the sum of its proper divisors (25057533256).

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

21000233144 is a wasteful number, since it uses less digits than its factorization.

21000233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177804 (or 177800 counting only the distinct ones).

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

Adding to 21000233144 its reverse (44133200012), we get a palindrome (65133433156).

The spelling of 21000233144 in words is "twenty-one billion, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 79 88 136 158 187 316 374 632 748 869 1343 1496 1738 2686 3476 5372 6952 10744 14773 29546 59092 118184 177691 355382 710764 1421528 1954601 3020747 3909202 6041494 7818404 12082988 14037589 15636808 24165976 28075178 33228217 56150356 66456434 112300712 132912868 154413479 238639013 265825736 308826958 477278026 617653916 954556052 1235307832 1909112104 2625029143 5250058286 10500116572 21000233144