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101211021021222 = 232759101913360757
BaseRepresentation
bin10111000000110100000110…
…111101001001000000100110
3111021100200100002000112012100
4113000310012331021000212
5101231220132340134342
6555131411242032530
730214153311032430
oct2700640675110046
9437320302015170
10101211021021222
112a281397889672
12b42745a1a8746
134462209b08488
141adc8d4d1d650
15ba7ae6cece4c
hex5c0d06f49026

101211021021222 has 96 divisors (see below), whose sum is σ = 255115657555200. Its totient is φ = 28399409181504.

The previous prime is 101211021021211. The next prime is 101211021021311. The reversal of 101211021021222 is 222120120112101.

101211021021222 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 0 + 210 + 21 + 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 = 101211021021195 and 101211021021204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894868 + ... + 14255624.

It is an arithmetic number, because the mean of its divisors is an integer number (2657454766200).

Almost surely, 2101211021021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211021021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127557828777600).

101211021021222 is an abundant number, since it is smaller than the sum of its proper divisors (153904636533978).

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

101211021021222 is a wasteful number, since it uses less digits than its factorization.

101211021021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361850 (or 13361847 counting only the distinct ones).

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

Adding to 101211021021222 its reverse (222120120112101), we get a palindrome (323331141133323).

The spelling of 101211021021222 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1019 1062 1239 2038 2478 3057 3717 6114 7133 7434 9171 14266 18342 21399 42798 60121 64197 120242 128394 180363 360726 420847 541089 841694 1082178 1262541 2525082 3787623 7575246 13360757 26721514 40082271 80164542 93525299 120246813 187050598 240493626 280575897 561151794 788284663 841727691 1576569326 1683455382 2364853989 4729707978 5517992641 7094561967 11035985282 13614611383 14189123934 16553977923 27229222766 33107955846 40843834149 49661933769 81687668298 95302279681 99323867538 122531502447 190604559362 245063004894 285906839043 571813678086 803262071597 857720517129 1606524143194 1715441034258 2409786214791 4819572429582 5622834501179 7229358644373 11245669002358 14458717288746 16868503503537 33737007007074 50605510510611 101211021021222