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101001001211222 = 27217791123683351
BaseRepresentation
bin10110111101110000100000…
…110011001001010101010110
3111020121121020102200202100212
4112331300200303021111112
5101214300022302224342
6554451115220405422
730163036652065400
oct2675604063112526
9436547212622325
10101001001211222
112a200314102962
12b3b2806b46872
134448479984058
141ad26901ddb70
15ba2403da6182
hex5bdc20cc9556

101001001211222 has 96 divisors (see below), whose sum is σ = 189133902443520. Its totient is φ = 40188327379200.

The previous prime is 101001001211221. The next prime is 101001001211251. The reversal of 101001001211222 is 222112100100101.

101001001211222 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-2 number, since 2×1010010012112222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101001001211197 and 101001001211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001211221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 147460847 + ... + 148144197.

It is an arithmetic number, because the mean of its divisors is an integer number (1970144817120).

Almost surely, 2101001001211222 is an apocalyptic number.

101001001211222 is a deficient number, since it is larger than the sum of its proper divisors (88132901232298).

101001001211222 is a wasteful number, since it uses less digits than its factorization.

101001001211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684586 (or 684579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101001001211222 its reverse (222112100100101), we get a palindrome (323113101311323).

The spelling of 101001001211222 in words is "one hundred one trillion, one billion, one million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 7 14 17 34 49 79 98 119 158 238 553 833 1106 1123 1343 1666 2246 2686 3871 7742 7861 9401 15722 18802 19091 38182 55027 65807 88717 110054 131614 133637 177434 267274 621019 683351 935459 1242038 1366702 1508189 1870918 3016378 4347133 4783457 8694266 9566914 10557323 11616967 21114646 23233934 33484199 53984729 66968398 73901261 81318769 107969458 147802522 162637538 377893103 569231383 755786206 767403173 917740393 1138462766 1534806346 1835480786 2645251721 5290503442 5371822211 6424182751 10743644422 12848365502 13045853941 26091707882 37602755477 44969279257 60624850667 75205510954 89938558514 91320977587 121249701334 182641955174 424373954669 639246843109 848747909338 1030622461339 1278493686218 2061244922678 2970617682683 5941235365366 7214357229373 14428714458746 50500500605611 101001001211222