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211031203840 = 213521532393
BaseRepresentation
bin1100010010001001110…
…0001010000000000000
3202011201010102220100121
43010202130022000000
511424142442010330
6240540231030024
721150356431102
oct3044234120000
9664633386317
10211031203840
1181552681996
1234a95b0b314
1316b91850722
14a2dd195572
155751b2917a
hex312270a000

211031203840 has 112 divisors (see below), whose sum is σ = 506890937448. Its totient is φ = 84338016256.

The previous prime is 211031203807. The next prime is 211031203841. The reversal of 211031203840 is 48302130112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54240546816 + 156790657024 = 232896^2 + 395968^2 .

It is not an unprimeable number, because it can be changed into a prime (211031203841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88185684 + ... + 88188076.

Almost surely, 2211031203840 is an apocalyptic number.

211031203840 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 211031203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253445468724).

211031203840 is an abundant number, since it is smaller than the sum of its proper divisors (295859733608).

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

211031203840 is an equidigital number, since it uses as much as digits as its factorization.

211031203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 211031203840 its reverse (48302130112), we get a palindrome (259333333952).

The spelling of 211031203840 in words is "two hundred eleven billion, thirty-one million, two hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2153 2393 2560 4096 4306 4786 5120 8192 8612 9572 10240 10765 11965 17224 19144 20480 21530 23930 34448 38288 40960 43060 47860 68896 76576 86120 95720 137792 153152 172240 191440 275584 306304 344480 382880 551168 612608 688960 765760 1102336 1225216 1377920 1531520 2204672 2450432 2755840 3063040 4409344 4900864 5152129 5511680 6126080 8818688 9801728 10304258 11023360 12252160 17637376 19603456 20608516 22046720 24504320 25760645 41217032 44093440 49008640 51521290 82434064 88186880 98017280 103042580 164868128 206085160 329736256 412170320 659472512 824340640 1318945024 1648681280 2637890048 3297362560 5275780096 6594725120 10551560192 13189450240 21103120384 26378900480 42206240768 52757800960 105515601920 211031203840