Search a number
-
+
202111111010112 = 2634345753567861
BaseRepresentation
bin101101111101000110101000…
…111110100001011101000000
3222111121122002211110001021020
4231331012220332201131000
5202442342023404310422
61553504321305025440
760400021512653553
oct5575065076413500
9874548084401236
10202111111010112
1159442928159617
121a8025a2185280
1388a0cc4257385
1437ca33106069a
15185759197295c
hexb7d1a8fa1740

202111111010112 has 112 divisors (see below), whose sum is σ = 548385773952192. Its totient is φ = 65659625902080.

The previous prime is 202111111009999. The next prime is 202111111010117. The reversal of 202111111010112 is 211010111111202.

202111111010112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021111110101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202111111010091 and 202111111010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111111010117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23010939 + ... + 30556922.

Almost surely, 2202111111010112 is an apocalyptic number.

It is an amenable number.

202111111010112 is an abundant number, since it is smaller than the sum of its proper divisors (346274662942080).

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

202111111010112 is a wasteful number, since it uses less digits than its factorization.

202111111010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53568376 (or 53568366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 202111111010112 its reverse (211010111111202), we get a palindrome (413121222121314).

The spelling of 202111111010112 in words is "two hundred two trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 457 516 688 914 1032 1371 1376 1828 2064 2742 2752 3656 4128 5484 7312 8256 10968 14624 19651 21936 29248 39302 43872 58953 78604 87744 117906 157208 235812 314416 471624 628832 943248 1257664 1886496 3772992 53567861 107135722 160703583 214271444 321407166 428542888 642814332 857085776 1285628664 1714171552 2303418023 2571257328 3428343104 4606836046 5142514656 6910254069 9213672092 10285029312 13820508138 18427344184 24480512477 27641016276 36854688368 48961024954 55282032552 73441537431 73709376736 97922049908 110564065104 146883074862 147418753472 195844099816 221128130208 293766149724 391688199632 442256260416 587532299448 783376399264 1052662036511 1175064598896 1566752798528 2105324073022 2350129197792 3157986109533 4210648146044 4700258395584 6315972219066 8421296292088 12631944438132 16842592584176 25263888876264 33685185168352 50527777752528 67370370336704 101055555505056 202111111010112