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1000202211112 = 2313107573715667
BaseRepresentation
bin11101000111000001011…
…00101000111100101000
310112121200210220210222111
432203200230220330220
5112341403231223422
62043253032332104
7132155641342546
oct16434054507450
93477623823874
101000202211112
11356202089115
12141a19844034
137341b1483a0
14365a5242d96
151b03e3aaa77
hexe8e0b28f28

1000202211112 has 64 divisors (see below), whose sum is σ = 2038999677120. Its totient is φ = 457208575488.

The previous prime is 1000202211109. The next prime is 1000202211119. The reversal of 1000202211112 is 2111122020001.

It is a super-2 number, since 2×10002022111122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1000202211092 and 1000202211101.

It is not an unprimeable number, because it can be changed into a prime (1000202211119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63833503 + ... + 63849169.

It is an arithmetic number, because the mean of its divisors is an integer number (31859369955).

Almost surely, 21000202211112 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 1000202211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019499838560).

1000202211112 is an abundant number, since it is smaller than the sum of its proper divisors (1038797466008).

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

1000202211112 is a wasteful number, since it uses less digits than its factorization.

1000202211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21530 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1000202211112 its reverse (2111122020001), we get a palindrome (3111324231113).

It can be divided in two parts, 100020 and 2211112, that added together give a palindrome (2311132).

The spelling of 1000202211112 in words is "one trillion, two hundred two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5564 5737 11128 11474 15667 22948 31334 45896 62668 74581 125336 149162 203671 298324 407342 596648 613859 814684 1227718 1629368 1676369 2455436 3352738 4910872 6705476 7980167 13410952 15960334 21792797 31920668 43585594 63841336 87171188 89881579 174342376 179763158 359526316 719052632 1168460527 2336921054 4673842108 9347684216 9617328953 19234657906 38469315812 76938631624 125025276389 250050552778 500101105556 1000202211112