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10041200022 = 23723971011061
BaseRepresentation
bin10010101101000000…
…01000110110010110
3221220210021210221010
421112200020312112
5131031021400042
64340213433050
7503554535430
oct112640106626
927823253833
1010041200022
114292aa5217
121b4293b786
13c403b4299
146b3809650
153db7ea59c
hex256808d96

10041200022 has 128 divisors (see below), whose sum is σ = 24458692608. Its totient is φ = 2686464000.

The previous prime is 10041200021. The next prime is 10041200101. The reversal of 10041200022 is 22000214001.

It is a junction number, because it is equal to n+sod(n) for n = 10041199980 and 10041200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041200021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9463372 + ... + 9464432.

It is an arithmetic number, because the mean of its divisors is an integer number (191083536).

Almost surely, 210041200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229346304).

10041200022 is an abundant number, since it is smaller than the sum of its proper divisors (14417492586).

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

10041200022 is a wasteful number, since it uses less digits than its factorization.

10041200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10041200022 its reverse (22000214001), we get a palindrome (32041414023).

The spelling of 10041200022 in words is "ten billion, forty-one million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 97 101 138 161 194 202 291 303 322 483 582 606 679 707 966 1061 1358 1414 2037 2121 2122 2231 2323 3183 4074 4242 4462 4646 6366 6693 6969 7427 9797 13386 13938 14854 15617 16261 19594 22281 24403 29391 31234 32522 44562 46851 48783 48806 58782 68579 73209 93702 97566 102917 107161 137158 146418 170821 205737 205834 214322 225331 308751 321483 341642 411474 450662 512463 617502 642966 675993 720419 750127 1024926 1351986 1440838 1500254 1577317 2161257 2250381 2367091 2464703 3154634 4322514 4500762 4731951 4734182 4929406 7101273 7394109 9463902 10394617 14202546 14788218 16569637 17252921 20789234 31183851 33139274 34505842 49708911 51758763 62367702 72762319 99417822 103517526 145524638 218286957 239076191 436573914 478152382 717228573 1434457146 1673533337 3347066674 5020600011 10041200022