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101222020011222 = 232115331730428089
BaseRepresentation
bin10111000000111110010110…
…100010111101010011010110
3111021101201201121120002222100
4113000332112202331103112
5101231410144110324342
6555140430512342530
730215023005640605
oct2700762642752326
9437351647502870
10101222020011222
112a286021497650
12b429609844a46
13446327076b196
141add259a09a3c
15ba803c73ce4c
hex5c0f968bd4d6

101222020011222 has 96 divisors (see below), whose sum is σ = 244535223572640. Its totient is φ = 29999660520960.

The previous prime is 101222020011197. The next prime is 101222020011271. The reversal of 101222020011222 is 222110020222101.

It is a happy number.

101222020011222 is a `hidden beast` number, since 1 + 0 + 12 + 220 + 200 + 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 = 101222020011195 and 101222020011204.

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, 11887447 + ... + 18540642.

It is an arithmetic number, because the mean of its divisors is an integer number (2547241912215).

Almost surely, 2101222020011222 is an apocalyptic number.

101222020011222 is an abundant number, since it is smaller than the sum of its proper divisors (143313203561418).

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

101222020011222 is a wasteful number, since it uses less digits than its factorization.

101222020011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30428478 (or 30428475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222020011222 its reverse (222110020222101), we get a palindrome (323332040233323).

The spelling of 101222020011222 in words is "one hundred one trillion, two hundred twenty-two billion, twenty million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 317 318 477 583 634 951 954 1166 1749 1902 2853 3487 3498 5247 5706 6974 10461 10494 16801 20922 31383 33602 50403 62766 100806 151209 184811 302418 369622 554433 1108866 1663299 3326598 30428089 60856178 91284267 182568534 273852801 334708979 547705602 669417958 1004126937 1612688717 2008253874 3012380811 3225377434 4838066151 6024761622 9645704213 9676132302 14514198453 17739575887 19291408426 28937112639 29028396906 35479151774 53218727661 57874225278 86811337917 106102746343 106437455322 159656182983 173622675834 212205492686 318308239029 319312365966 511222323289 636616478058 954924717087 1022444646578 1533666969867 1909849434174 3067333939734 4601000909601 5623445556179 9202001819202 11246891112358 16870336668537 33740673337074 50611010005611 101222020011222