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101203023222 = 232713117934253
BaseRepresentation
bin101111001000000101…
…0111001010101110110
3100200020000100020212100
41132100022321111312
53124230433220342
6114254140002530
710211622334560
oct1362012712566
9320200306770
10101203023222
1139a13517274
1217744830446
13970ab21cc2
144c80b3a330
152974b70e4c
hex17902b9576

101203023222 has 96 divisors (see below), whose sum is σ = 253929012480. Its totient is φ = 28533286080.

The previous prime is 101203023167. The next prime is 101203023223. The reversal of 101203023222 is 222320302101.

It is a super-2 number, since 2×1012030232222 (a number of 23 digits) contains 22 as substring.

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 = 101203023195 and 101203023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203023223) by changing a digit.

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, 2937448 + ... + 2971700.

It is an arithmetic number, because the mean of its divisors is an integer number (2645093880).

Almost surely, 2101203023222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126964506240).

101203023222 is an abundant number, since it is smaller than the sum of its proper divisors (152725989258).

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

101203023222 is a wasteful number, since it uses less digits than its factorization.

101203023222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34578 (or 34575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101203023222 its reverse (222320302101), we get a palindrome (323523325323).

The spelling of 101203023222 in words is "one hundred one billion, two hundred three million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 179 262 358 393 537 786 917 1074 1179 1253 1611 1834 2358 2506 2751 3222 3759 5502 7518 8253 11277 16506 22554 23449 34253 46898 68506 70347 102759 140694 164143 205518 211041 239771 308277 328286 422082 479542 492429 616554 719313 984858 1438626 1477287 2157939 2954574 4315878 4487143 6131287 8974286 12262574 13461429 18393861 26922858 31410001 36787722 40384287 42919009 55181583 62820002 80768574 85838018 94230003 110363166 128757027 188460006 257514054 282690009 386271081 565380018 772542162 803198597 1606397194 2409595791 4819191582 5622390179 7228787373 11244780358 14457574746 16867170537 33734341074 50601511611 101203023222