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212303120256 = 27356825589
BaseRepresentation
bin1100010110111001000…
…0001000011110000000
3202021222202202221200000
43011232100020132000
511434244044322011
6241310344400000
721224032514163
oct3055620103600
9667882687600
10212303120256
1182045638587
123518ba76000
1317035204aa6
14a3c0085ada
1557c861d356
hex316e408780

212303120256 has 96 divisors (see below), whose sum is σ = 633551263800. Its totient is φ = 70767696384.

The previous prime is 212303120201. The next prime is 212303120257. The reversal of 212303120256 is 652021303212.

It is a happy number.

212303120256 is a `hidden beast` number, since 212 + 303 + 120 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2123031202562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212303120257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3381691 + ... + 3443898.

Almost surely, 2212303120256 is an apocalyptic number.

It is an amenable number.

212303120256 is an abundant number, since it is smaller than the sum of its proper divisors (421248143544).

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

212303120256 is an frugal number, since it uses more digits than its factorization.

212303120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825618 (or 6825594 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 212303120256 its reverse (652021303212), we get a palindrome (864324423468).

The spelling of 212303120256 in words is "two hundred twelve billion, three hundred three million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 6825589 13651178 20476767 27302356 40953534 54604712 61430301 81907068 109209424 122860602 163814136 184290903 218418848 245721204 327628272 368581806 436837696 491442408 552872709 655256544 737163612 873675392 982884816 1105745418 1310513088 1474327224 1658618127 1965769632 2211490836 2621026176 2948654448 3317236254 3931539264 4422981672 5897308896 6634472508 7863078528 8845963344 11794617792 13268945016 17691926688 23589235584 26537890032 35383853376 53075780064 70767706752 106151560128 212303120256