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21102342324 = 223719119311083
BaseRepresentation
bin10011101001110011…
…000011000010110100
32000110122210001122020
4103221303003002310
5321204144423244
613405544233140
71344635643630
oct235163030264
960418701566
1021102342324
118a497a4138
12410b16b7b0
131cb3b987bb
141042873dc0
15837915d19
hex4e9cc30b4

21102342324 has 96 divisors (see below), whose sum is σ = 59289646080. Its totient is φ = 5706609408.

The previous prime is 21102342323. The next prime is 21102342347. The reversal of 21102342324 is 42324320112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21102342294 and 21102342303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102342323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898487 + ... + 1909569.

It is an arithmetic number, because the mean of its divisors is an integer number (617600480).

Almost surely, 221102342324 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 21102342324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29644823040).

21102342324 is an abundant number, since it is smaller than the sum of its proper divisors (38187303756).

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

21102342324 is a wasteful number, since it uses less digits than its factorization.

21102342324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21102342324 its reverse (42324320112), we get a palindrome (63426662436).

The spelling of 21102342324 in words is "twenty-one billion, one hundred two million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1193 1596 2386 3579 4772 7158 8351 11083 14316 16702 22166 22667 25053 33249 33404 44332 45334 50106 66498 68001 77581 90668 100212 132996 136002 155162 158669 210577 232743 272004 310324 317338 421154 465486 476007 631731 634676 842308 930972 952014 1263462 1474039 1904028 2526924 2948078 4422117 5896156 8844234 13222019 17688468 26444038 39666057 52888076 79332114 92554133 158664228 185108266 251218361 277662399 370216532 502436722 555324798 753655083 1004873444 1110649596 1507310166 1758528527 3014620332 3517057054 5275585581 7034114108 10551171162 21102342324