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202103422112 = 25437119710501
BaseRepresentation
bin1011110000111001001…
…1010111110010100000
3201022122221020121012002
42330032103113302200
511302401434001422
6232502305423132
720413211512664
oct2741623276240
9638587217162
10202103422112
1178791127389
123320403aaa8
131609b037847
149ad35bc8a4
1553cce65692
hex2f0e4d7ca0

202103422112 has 96 divisors (see below), whose sum is σ = 415014171264. Its totient is φ = 96808320000.

The previous prime is 202103422111. The next prime is 202103422127. The reversal of 202103422112 is 211224301202.

202103422112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202103422111) 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 15 ways as a sum of consecutive naturals, for example, 19240862 + ... + 19251362.

It is an arithmetic number, because the mean of its divisors is an integer number (4323064284).

Almost surely, 2202103422112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202103422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207507085632).

202103422112 is an abundant number, since it is smaller than the sum of its proper divisors (212910749152).

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

202103422112 is a wasteful number, since it uses less digits than its factorization.

202103422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 202103422112 its reverse (211224301202), we get a palindrome (413327723314).

The spelling of 202103422112 in words is "two hundred two billion, one hundred three million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 71 86 142 172 197 284 344 394 568 688 788 1136 1376 1576 2272 3053 3152 6106 6304 8471 10501 12212 13987 16942 21002 24424 27974 33884 42004 48848 55948 67768 84008 97696 111896 135536 168016 223792 271072 336032 447584 451543 601441 745571 903086 1202882 1491142 1806172 2068697 2405764 2982284 3612344 4137394 4811528 5964568 7224688 8274788 9623056 11929136 14449376 16549576 19246112 23858272 32059553 33099152 64119106 66198304 88953971 128238212 146877487 177907942 256476424 293754974 355815884 512952848 587509948 711631768 1025905696 1175019896 1423263536 2350039792 2846527072 4700079584 6315731941 12631463882 25262927764 50525855528 101051711056 202103422112