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1021322101122 = 233739724111083
BaseRepresentation
bin11101101110010111000…
…10101000000110000010
310121122012200201101112000
432313023202220012002
5113213131424213442
62101104445044430
7133534212423111
oct16671342500602
93548180641460
101021322101122
1136415a778074
12145b32856716
137540584901b
143760a163c78
151b8785dad4c
hexedcb8a8182

1021322101122 has 128 divisors (see below), whose sum is σ = 2334269118720. Its totient is φ = 330906746880.

The previous prime is 1021322101117. The next prime is 1021322101157. The reversal of 1021322101122 is 2211012231201.

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 = 1021322101095 and 1021322101104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92146593 + ... + 92157675.

It is an arithmetic number, because the mean of its divisors is an integer number (18236477490).

Almost surely, 21021322101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021322101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167134559360).

1021322101122 is an abundant number, since it is smaller than the sum of its proper divisors (1312947017598).

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

1021322101122 is a wasteful number, since it uses less digits than its factorization.

1021322101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1021322101122 its reverse (2211012231201), we get a palindrome (3232334332323).

The spelling of 1021322101122 in words is "one trillion, twenty-one billion, three hundred twenty-two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 97 146 194 219 241 291 438 482 582 657 723 873 1314 1446 1746 1971 2169 2619 3942 4338 5238 6507 7081 11083 13014 14162 17593 21243 22166 23377 33249 35186 42486 46754 52779 63729 66498 70131 99747 105558 127458 140262 158337 191187 199494 210393 299241 316674 382374 420786 475011 598482 631179 809059 950022 1075051 1262358 1618118 1706521 2150102 2427177 2671003 3225153 3413042 4854354 5119563 5342006 6450306 7281531 8013009 9675459 10239126 14563062 15358689 16026018 19350918 21844593 24039027 29026377 30717378 43689186 46076067 48078054 58052754 72117081 78478723 92152134 144234162 156957446 194983219 235436169 259087291 389966438 470872338 518174582 584949657 706308507 777261873 1169899314 1412617014 1554523746 1754848971 2118925521 2331785619 3509697942 4237851042 4663571238 5264546913 6995356857 10529093826 13990713714 18913372243 37826744486 56740116729 113480233458 170220350187 340440700374 510661050561 1021322101122