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202210011001096 = 23767334716102159
BaseRepresentation
bin101101111110100010101111…
…111000000011000100001000
3222111222002101100020010211021
4231332202233320003010020
5203001002100304013341
61554021555135042224
760410122402010650
oct5576425770030410
9874862340203737
10202210011001096
115948086967365a
121a8197a3670374
1388aa425bb1cb7
1437d1033d7d360
151859e2e3239d1
hexb7e8afe03108

202210011001096 has 64 divisors (see below), whose sum is σ = 439905858508800. Its totient is φ = 85342467938112.

The previous prime is 202210011001067. The next prime is 202210011001121. The reversal of 202210011001096 is 690100110012202.

It is a happy number.

202210011001096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2022100110010963 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 202210011001096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506865 + ... + 20609023.

It is an arithmetic number, because the mean of its divisors is an integer number (6873529039200).

Almost surely, 2202210011001096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202210011001096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219952929254400).

202210011001096 is an abundant number, since it is smaller than the sum of its proper divisors (237695847507704).

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

202210011001096 is a wasteful number, since it uses less digits than its factorization.

202210011001096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105586 (or 16105582 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 202210011001096 its reverse (690100110012202), we get a palindrome (892310121013298).

The spelling of 202210011001096 in words is "two hundred two trillion, two hundred ten billion, eleven million, one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3347 3752 6694 13388 23429 26776 46858 93716 187432 224249 448498 896996 1569743 1793992 3139486 6278972 12557944 16102159 32204318 64408636 112715113 128817272 225430226 450860452 901720904 1078844653 2157689306 4315378612 7551912571 8630757224 15103825142 30207650284 53893926173 60415300568 107787852346 215575704692 377257483211 431151409384 754514966422 1509029932844 3018059865688 3610893053591 7221786107182 14443572214364 25276251375137 28887144428728 50552502750274 101105005500548 202210011001096