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211210133312 = 26591132771787
BaseRepresentation
bin1100010010110100011…
…0101101111101000000
3202012011121010110110002
43010231012231331000
511430024243231222
6241010102055132
721154661340263
oct3045506557500
9665147113402
10211210133312
1181634683292
1234b25a1a4a8
1316bbc93b259
14a318c50cda
1557626c0392
hex312d1adf40

211210133312 has 112 divisors (see below), whose sum is σ = 431789555520. Its totient is φ = 102467592192.

The previous prime is 211210133311. The next prime is 211210133327. The reversal of 211210133312 is 213331012112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210133311) 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, 118191683 + ... + 118193469.

Almost surely, 2211210133312 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 211210133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215894777760).

211210133312 is an abundant number, since it is smaller than the sum of its proper divisors (220579422208).

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

211210133312 is a wasteful number, since it uses less digits than its factorization.

211210133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211210133312 its reverse (213331012112), we get a palindrome (424541145424).

The spelling of 211210133312 in words is "two hundred eleven billion, two hundred ten million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 113 118 226 236 277 452 472 554 904 944 1108 1787 1808 1888 2216 3574 3616 3776 4432 6667 7148 7232 8864 13334 14296 16343 17728 26668 28592 31301 32686 53336 57184 62602 65372 105433 106672 114368 125204 130744 201931 210866 213344 250408 261488 403862 421732 426688 494999 500816 522976 807724 843464 989998 1001632 1045952 1615448 1686928 1846759 1979996 2003264 3230896 3373856 3693518 3959992 6461792 6747712 7387036 7919984 11913929 12923584 14774072 15839968 23827858 29204941 29548144 31679936 47655716 55934887 58409882 59096288 95311432 111869774 116819764 118192576 190622864 223739548 233639528 381245728 447479096 467279056 762491456 894958192 934558112 1789916384 1869116224 3300158333 3579832768 6600316666 13200633332 26401266664 52802533328 105605066656 211210133312