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10011201122202 = 23779137101921613
BaseRepresentation
bin1001000110101110101000…
…0101100010111110011010
31022110001122211010012212020
42101223222011202332122
52303010414441402302
633143025435555310
72052166616330250
oct221535205427632
938401584105766
1010011201122202
11320a7aa050a05
1211582a2bbbb36
1357808a940b97
1426878a9d45d0
151256334adebc
hex91aea162f9a

10011201122202 has 128 divisors (see below), whose sum is σ = 23365529395200. Its totient is φ = 2800641332736.

The previous prime is 10011201122099. The next prime is 10011201122243. The reversal of 10011201122202 is 20222110211001.

10011201122202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463191948 + ... + 463213560.

It is an arithmetic number, because the mean of its divisors is an integer number (182543198400).

Almost surely, 210011201122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011201122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682764697600).

10011201122202 is an abundant number, since it is smaller than the sum of its proper divisors (13354328272998).

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

10011201122202 is a wasteful number, since it uses less digits than its factorization.

10011201122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22860.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011201122202 its reverse (20222110211001), we get a palindrome (30233311333203).

The spelling of 10011201122202 in words is "ten trillion, eleven billion, two hundred one million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 79 137 158 237 274 411 474 553 822 959 1019 1106 1659 1918 2038 2877 3057 3318 5754 6114 7133 10823 14266 21399 21613 21646 32469 42798 43226 64839 64938 75761 80501 129678 139603 151291 151522 161002 227283 241503 279206 302582 418809 453873 454566 483006 563507 837618 907746 977221 1127014 1690521 1707427 1954442 2931663 2960981 3381042 3414854 5122281 5863326 5921962 8882943 10244562 11028637 11951989 17765886 20726867 22023647 22057274 23903978 33085911 35855967 41453734 44047294 62180601 66070941 66171822 71711934 77200459 124361202 132141882 154165529 154400918 231601377 233917499 308331058 462496587 463202754 467834998 701752497 924993174 1403504994 1637422493 1739868113 3017239639 3274844986 3479736226 4912267479 5219604339 6034479278 9051718917 9824534958 10439208678 12179076791 18103437834 21120677473 24358153582 36537230373 42241354946 63362032419 73074460746 126724064838 238361931481 476723862962 715085794443 1430171588886 1668533520367 3337067040734 5005600561101 10011201122202