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10212011202222 = 2322973428962483
BaseRepresentation
bin1001010010011010101101…
…0011001101011010101110
31100011020222121201020020100
42110212223103031122232
52314303144331432342
633415155544531530
72102536105002504
oct224465323153256
940136877636210
1010212011202222
113287987108225
12118b1a5a80ba6
13590cb0a3203b
1427439a506674
1512a987aebe4c
hex949ab4cd6ae

10212011202222 has 96 divisors (see below), whose sum is σ = 23208319648800. Its totient is φ = 3240794382336.

The previous prime is 10212011202221. The next prime is 10212011202227. The reversal of 10212011202222 is 22220211021201.

It is a happy number.

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 = 10212011202195 and 10212011202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212011202221) 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, 163405393 + ... + 163467875.

It is an arithmetic number, because the mean of its divisors is an integer number (241753329675).

Almost surely, 210212011202222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212011202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604159824400).

10212011202222 is an abundant number, since it is smaller than the sum of its proper divisors (12996308446578).

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

10212011202222 is a wasteful number, since it uses less digits than its factorization.

10212011202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66882 (or 66879 counting only the distinct ones).

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

Adding to 10212011202222 its reverse (22220211021201), we get a palindrome (32432222223423).

The spelling of 10212011202222 in words is "ten trillion, two hundred twelve billion, eleven million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 438 522 657 1314 2117 4234 4289 6351 8578 12702 12867 19053 25734 38106 38601 62483 77202 124381 124966 187449 248762 313097 373143 374898 562347 626194 746286 939291 1119429 1124694 1812007 1878582 2238858 2817873 3624014 4561259 5436021 5635746 9079813 9122518 10872042 13683777 16308063 18159626 27239439 27367554 32616126 41051331 54478878 81718317 82102662 132276511 163436634 264553022 267989587 396829533 535979174 793659066 803968761 1190488599 1607937522 2380977198 2411906283 4823812566 7771698023 15543396046 19563239851 23315094069 39126479702 46630188138 58689719553 69945282207 117379439106 139890564414 176069158659 352138317318 567333955679 1134667911358 1702001867037 3404003734074 5106005601111 10212011202222