Search a number
-
+
20212310112 = 2538914915877
BaseRepresentation
bin10010110100101111…
…110110000001100000
31221011122000201222020
4102310233312001200
5312343322410422
613141351541440
71313610541551
oct226457660140
957148021866
1020212310112
11863235a825
123b0108a880
131ba1682117
14d9a590328
157d470795c
hex4b4bf6060

20212310112 has 96 divisors (see below), whose sum is σ = 54016956000. Its totient is φ = 6616608768.

The previous prime is 20212310081. The next prime is 20212310159. The reversal of 20212310112 is 21101321202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20212310091 and 20212310100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265118 + ... + 1280994.

It is an arithmetic number, because the mean of its divisors is an integer number (562676625).

Almost surely, 220212310112 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 20212310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27008478000).

20212310112 is an abundant number, since it is smaller than the sum of its proper divisors (33804645888).

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

20212310112 is a wasteful number, since it uses less digits than its factorization.

20212310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16128 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20212310112 its reverse (21101321202), we get a palindrome (41313631314).

The spelling of 20212310112 in words is "twenty billion, two hundred twelve million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 149 178 267 298 356 447 534 596 712 894 1068 1192 1424 1788 2136 2384 2848 3576 4272 4768 7152 8544 13261 14304 15877 26522 31754 39783 47631 53044 63508 79566 95262 106088 127016 159132 190524 212176 254032 318264 381048 424352 508064 636528 762096 1273056 1413053 1524192 2365673 2826106 4239159 4731346 5652212 7097019 8478318 9462692 11304424 14194038 16956636 18925384 22608848 28388076 33913272 37850768 45217696 56776152 67826544 75701536 113552304 135653088 210544897 227104608 421089794 631634691 842179588 1263269382 1684359176 2526538764 3368718352 5053077528 6737436704 10106155056 20212310112