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1021112212194 = 233103433423989
BaseRepresentation
bin11101101101111110000…
…01111101101011100010
310121121200001202221001000
432312333001331223202
5113212214211242234
62101031550252430
7133526053411044
oct16667701755342
93547601687030
101021112212194
11364062250448
12145a944b7116
13753a120b8a9
14375ca329a94
151b864e7b899
hexedbf07dae2

1021112212194 has 64 divisors (see below), whose sum is σ = 2296465516800. Its totient is φ = 336286930176.

The previous prime is 1021112212157. The next prime is 1021112212271. The reversal of 1021112212194 is 4912122111201.

1021112212194 is a `hidden beast` number, since 10 + 211 + 1 + 221 + 219 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196352 + ... + 2620340.

It is an arithmetic number, because the mean of its divisors is an integer number (35882273700).

Almost surely, 21021112212194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021112212194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148232758400).

1021112212194 is an abundant number, since it is smaller than the sum of its proper divisors (1275353304606).

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

1021112212194 is a wasteful number, since it uses less digits than its factorization.

1021112212194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424536 (or 424530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 1021112212194 its reverse (4912122111201), we get a palindrome (5933234323395).

The spelling of 1021112212194 in words is "one trillion, twenty-one billion, one hundred twelve million, two hundred twelve thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 433 618 866 927 1299 1854 2598 2781 3897 5562 7794 11691 23382 44599 89198 133797 267594 401391 423989 802782 847978 1204173 1271967 2408346 2543934 3815901 7631802 11447703 22895406 43670867 87341734 131012601 183587237 262025202 367174474 393037803 550761711 786075606 1101523422 1179113409 1652285133 2358226818 3304570266 4956855399 9913710798 18909485411 37818970822 56728456233 113456912466 170185368699 340370737398 510556106097 1021112212194