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10001100222 = 23237971491039
BaseRepresentation
bin10010101000001110…
…01010110110111110
3221210222211112100100
421110013022312332
5130440240201342
64332222141530
7502556643411
oct112407126676
927728745310
1010001100222
1142723a6693
121b314218a6
13c34cb41a9
146ac36bb78
153d8028e4c
hex2541cadbe

10001100222 has 96 divisors (see below), whose sum is σ = 22656816000. Its totient is φ = 3185547264.

The previous prime is 10001100199. The next prime is 10001100223. The reversal of 10001100222 is 22200110001.

Adding to 10001100222 its reverse (22200110001), we get a palindrome (32201210223).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9625179 + ... + 9626217.

It is an arithmetic number, because the mean of its divisors is an integer number (236008500).

Almost surely, 210001100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328408000).

10001100222 is an abundant number, since it is smaller than the sum of its proper divisors (12655715778).

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

10001100222 is a wasteful number, since it uses less digits than its factorization.

10001100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The spelling of 10001100222 in words is "ten billion, one million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 97 111 149 194 222 291 298 333 447 582 666 873 894 1039 1341 1746 2078 2682 3117 3589 5513 6234 7178 9351 10767 11026 14453 16539 18702 21534 28906 32301 33078 38443 43359 49617 64602 76886 86718 99234 100783 115329 130077 154811 201566 230658 260154 302349 309622 345987 464433 534761 604698 691974 907047 928866 1069522 1393299 1604283 1814094 2786598 3208566 3728971 4812849 5728007 7457942 9625698 11186913 11456014 15016667 17184021 22373826 30033334 33560739 34368042 45050001 51552063 67121478 90100002 103104126 135150003 270300006 555616679 1111233358 1666850037 3333700074 5000550111 10001100222