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1021221111222 = 23213191991154243
BaseRepresentation
bin11101101110001011000…
…01011000010110110110
310121121221122200120102100
432313011201120112312
5113212430101024342
62101050440322530
7133531545135654
oct16670541302666
93547848616370
101021221111222
1136410876a944
12145b04a73446
13753ba949aa0
14375da995dd4
151b86e7dce4c
hexedc58585b6

1021221111222 has 96 divisors (see below), whose sum is σ = 2520868896000. Its totient is φ = 296187731136.

The previous prime is 1021221111199. The next prime is 1021221111269. The reversal of 1021221111222 is 2221111221201.

1021221111222 is a `hidden beast` number, since 10 + 212 + 211 + 11 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021221111195 and 1021221111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307633 + ... + 1461875.

It is an arithmetic number, because the mean of its divisors is an integer number (26259051000).

Almost surely, 21021221111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021221111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260434448000).

1021221111222 is an abundant number, since it is smaller than the sum of its proper divisors (1499647784778).

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

1021221111222 is a wasteful number, since it uses less digits than its factorization.

1021221111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154482 (or 1154479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1021221111222 its reverse (2221111221201), we get a palindrome (3242332332423).

The spelling of 1021221111222 in words is "one trillion, twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 199 234 247 342 398 494 597 741 1194 1482 1791 2223 2587 3582 3781 4446 5174 7562 7761 11343 15522 22686 23283 34029 46566 49153 68058 98306 147459 294918 442377 884754 1154243 2308486 3462729 6925458 10388187 15005159 20776374 21930617 30010318 43861234 45015477 65791851 90030954 131583702 135046431 197375553 229694357 270092862 285098021 394751106 459388714 570196042 689083071 855294063 1378166142 1710588126 2067249213 2565882189 2986026641 4134498426 4364192783 5131764378 5972053282 8728385566 8958079923 13092578349 17916159846 26185156698 26874239769 39277735047 53748479538 56734506179 78555470094 113469012358 170203518537 340407037074 510610555611 1021221111222