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211202111032 = 23113157126337
BaseRepresentation
bin1100010010110010100…
…0000111011000111000
3202012011001000212221121
43010230220013120320
511430020220023112
6241005214115024
721154533215563
oct3045450073070
9665131025847
10211202111032
11816300a4000
1234b231aba74
1316bbb08c943
14a317b634da
155761b38407
hex312ca07638

211202111032 has 64 divisors (see below), whose sum is σ = 438352431840. Its totient is φ = 95388733440.

The previous prime is 211202111009. The next prime is 211202111051. The reversal of 211202111032 is 230111202112.

211202111032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112021110322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211202110997 and 211202111015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608568 + ... + 1734904.

Almost surely, 2211202111032 is an apocalyptic number.

211202111032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211202111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219176215920).

211202111032 is an abundant number, since it is smaller than the sum of its proper divisors (227150320808).

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

211202111032 is a wasteful number, since it uses less digits than its factorization.

211202111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126533 (or 126507 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211202111032 its reverse (230111202112), we get a palindrome (441313313144).

The spelling of 211202111032 in words is "two hundred eleven billion, two hundred two million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1331 1727 2662 3454 5324 6908 10648 13816 18997 37994 75988 126337 151976 208967 252674 417934 505348 835868 1010696 1389707 1671736 2779414 5558828 11117656 15286777 19834909 30573554 39669818 61147108 79339636 122294216 158679272 168154547 218183999 336309094 436367998 672618188 872735996 1345236376 1745471992 2400023989 4800047978 9600095956 19200191912 26400263879 52800527758 105601055516 211202111032