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100211111022 = 231137433133049
BaseRepresentation
bin101110101010100001…
…1000011010001101110
3100120122212212220010110
41131111003003101232
53120213021023042
6114011503520450
710145216250351
oct1352503032156
9316585786113
10100211111022
1139554617a20
12175085b9126
1395b04871c9
144bc90d6298
152917a3b09c
hex17550c346e

100211111022 has 128 divisors (see below), whose sum is σ = 230583513600. Its totient is φ = 28757514240.

The previous prime is 100211111017. The next prime is 100211111023. The reversal of 100211111022 is 220111112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211110989 and 100211111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211111023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32865354 + ... + 32868402.

It is an arithmetic number, because the mean of its divisors is an integer number (1801433700).

Almost surely, 2100211111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115291756800).

100211111022 is an abundant number, since it is smaller than the sum of its proper divisors (130372402578).

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

100211111022 is a wasteful number, since it uses less digits than its factorization.

100211111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211111022 its reverse (220111112001), we get a palindrome (320322223023).

The spelling of 100211111022 in words is "one hundred billion, two hundred eleven million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 313 407 473 626 814 939 946 1221 1419 1591 1878 2442 2838 3049 3182 3443 4773 6098 6886 9147 9546 10329 11581 13459 17501 18294 20658 23162 26918 33539 34743 35002 40377 52503 67078 69486 80754 100617 105006 112813 127391 131107 148049 201234 225626 254782 262214 296098 338439 382173 393321 444147 497983 676878 764346 786642 888294 954337 995966 1240943 1442177 1493949 1908674 2481886 2863011 2884354 2987898 3722829 4326531 4850959 5477813 5726022 7445658 8653062 9701918 10497707 10955626 14552877 16433439 20995414 29105754 31493121 32866878 35310469 41036491 53360549 62986242 70620938 82072982 105931407 106721098 123109473 160081647 211862814 246218946 320163294 388415159 451401401 776830318 902802802 1165245477 1354204203 1518350167 2330490954 2708408406 3036700334 4555050501 9110101002 16701851837 33403703674 50105555511 100211111022