Search a number
-
+
10122030208 = 271937197571
BaseRepresentation
bin10010110110101000…
…11110110010000000
3222010102101102002201
421123110132302000
5131212214431313
64352222122544
7505555560103
oct113324366200
928112342081
1010122030208
114324693124
121b65a20454
13c540754b4
146c044a73a
153e39650dd
hex25b51ec80

10122030208 has 128 divisors (see below), whose sum is σ = 21949012800. Its totient is φ = 4633251840.

The previous prime is 10122030199. The next prime is 10122030209. The reversal of 10122030208 is 80203022101.

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 (19).

It is not an unprimeable number, because it can be changed into a prime (10122030209) 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, 17726563 + ... + 17727133.

Almost surely, 210122030208 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 10122030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974506400).

10122030208 is an abundant number, since it is smaller than the sum of its proper divisors (11826982592).

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

10122030208 is a wasteful number, since it uses less digits than its factorization.

10122030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10122030208 its reverse (80203022101), we get a palindrome (90325052309).

The spelling of 10122030208 in words is "ten billion, one hundred twenty-two million, thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 197 296 304 394 571 592 608 703 788 1142 1184 1216 1406 1576 2284 2368 2432 2812 3152 3743 4568 4736 5624 6304 7289 7486 9136 10849 11248 12608 14578 14972 18272 21127 21698 22496 25216 29156 29944 36544 42254 43396 44992 58312 59888 73088 84508 86792 89984 112487 116624 119776 138491 169016 173584 224974 233248 239552 276982 338032 347168 401413 449948 466496 479104 553964 676064 694336 802826 899896 932992 1107928 1352128 1388672 1605652 1799792 2137253 2215856 2704256 3211304 3599584 4162019 4274506 4431712 6422608 7199168 8324038 8549012 8863424 12845216 14398336 16648076 17098024 17726848 25690432 33296152 34196048 51380864 66592304 68392096 79078361 133184608 136784192 158156722 266369216 273568384 316313444 532738432 632626888 1265253776 2530507552 5061015104 10122030208