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10001222080 = 265435631291
BaseRepresentation
bin10010101000001111…
…01000100111000000
3221211000001201111121
421110013220213000
5130440303101310
64332224522024
7502560661603
oct112407504700
927730051447
1010001222080
11427247a1a3
121b31480314
13c350277b5
146ac3a033a
153d80500da
hex2541e89c0

10001222080 has 112 divisors (see below), whose sum is σ = 24431451264. Its totient is φ = 3897492480.

The previous prime is 10001222051. The next prime is 10001222081. The reversal of 10001222080 is 8022210001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7746235 + ... + 7747525.

Almost surely, 210001222080 is an apocalyptic number.

10001222080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215725632).

10001222080 is an abundant number, since it is smaller than the sum of its proper divisors (14430229184).

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

10001222080 is a wasteful number, since it uses less digits than its factorization.

10001222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10001222080 its reverse (8022210001), we get a palindrome (18023432081).

The spelling of 10001222080 in words is "ten billion, one million, two hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 563 688 860 1126 1291 1376 1720 2252 2582 2752 2815 3440 4504 5164 5630 6455 6880 9008 10328 11260 12910 13760 18016 20656 22520 24209 25820 36032 41312 45040 48418 51640 55513 82624 90080 96836 103280 111026 121045 180160 193672 206560 222052 242090 277565 387344 413120 444104 484180 555130 726833 774688 888208 968360 1110260 1453666 1549376 1776416 1936720 2220520 2907332 3552832 3634165 3873440 4441040 5814664 7268330 7746880 8882080 11629328 14536660 17764160 23258656 29073320 31253819 46517312 58146640 62507638 116293280 125015276 156269095 232586560 250030552 312538190 500061104 625076380 1000122208 1250152760 2000244416 2500305520 5000611040 10001222080