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10105440050 = 25217291972081
BaseRepresentation
bin10010110100101010…
…01100011100110010
3222002021011112200102
421122111030130302
5131143443040200
64350430352402
7505264552226
oct113225143462
928067145612
1010105440050
114316291752
121b6035b702
13c507b7134
146bc16c786
153e22896d5
hex25a54c732

10105440050 has 96 divisors (see below), whose sum is σ = 20702491920. Its totient is φ = 3652812800.

The previous prime is 10105440029. The next prime is 10105440089. The reversal of 10105440050 is 5004450101.

It can be written as a sum of positive squares in 24 ways, for example, as 762477769 + 9342962281 = 27613^2 + 96659^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4855010 + ... + 4857090.

Almost surely, 210105440050 is an apocalyptic number.

10105440050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105440050 is an abundant number, since it is smaller than the sum of its proper divisors (10597051870).

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

10105440050 is a wasteful number, since it uses less digits than its factorization.

10105440050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 10105440050 its reverse (5004450101), we get a palindrome (15109890151).

The spelling of 10105440050 in words is "ten billion, one hundred five million, four hundred forty thousand, fifty".

Divisors: 1 2 5 10 17 25 29 34 50 58 85 145 170 197 290 394 425 493 725 850 985 986 1450 1970 2081 2465 3349 4162 4925 4930 5713 6698 9850 10405 11426 12325 16745 20810 24650 28565 33490 35377 52025 57130 60349 70754 83725 97121 104050 120698 142825 167450 176885 194242 285650 301745 353770 409957 485605 603490 819914 884425 971210 1025933 1508725 1768850 2049785 2051866 2428025 3017450 4099570 4856050 5129665 6969269 10248925 10259330 11888753 13938538 20497850 23777506 25648325 34846345 51296650 59443765 69692690 118887530 174231725 202108801 297218825 348463450 404217602 594437650 1010544005 2021088010 5052720025 10105440050