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211312120000 = 265431170413
BaseRepresentation
bin1100010011001100101…
…1110001000011000000
3202012102201000220212211
43010303023301003000
511430231400320000
6241024144031504
721160340245462
oct3046313610300
9665381026784
10211312120000
1181687201403
1234b54002594
1316c07ac90c7
14a3285dc132
15576b6187ba
hex31332f10c0

211312120000 has 140 divisors (see below), whose sum is σ = 540891309376. Its totient is φ = 81797760000.

The previous prime is 211312119979. The next prime is 211312120001. The reversal of 211312120000 is 21213112.

It is not an unprimeable number, because it can be changed into a prime (211312120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1154794 + ... + 1325206.

Almost surely, 2211312120000 is an apocalyptic number.

211312120000 is a gapful number since it is divisible by the number (20) 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 211312120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270445654688).

211312120000 is an abundant number, since it is smaller than the sum of its proper divisors (329579189376).

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

211312120000 is an equidigital number, since it uses as much as digits as its factorization.

211312120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170476 (or 170451 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211312120000 its reverse (21213112), we get a palindrome (211333333112).

The spelling of 211312120000 in words is "two hundred eleven billion, three hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 625 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 19375 20000 24800 31000 38750 40000 49600 62000 77500 124000 155000 170413 248000 310000 340826 620000 681652 852065 1240000 1363304 1704130 2726608 3408260 4260325 5282803 5453216 6816520 8520650 10565606 10906432 13633040 17041300 21131212 21301625 26414015 27266080 34082600 42262424 42603250 52828030 54532160 68165200 84524848 85206500 105656060 106508125 132070075 136330400 169049696 170413000 211312120 213016250 264140150 272660800 338099392 340826000 422624240 426032500 528280300 660350375 681652000 845248480 852065000 1056560600 1320700750 1363304000 1690496960 1704130000 2113121200 2641401500 3301751875 3408260000 4226242400 5282803000 6603503750 6816520000 8452484800 10565606000 13207007500 21131212000 26414015000 42262424000 52828030000 105656060000 211312120000