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211210202202112 = 214751122913967
BaseRepresentation
bin110000000001100000110101…
…000100110100000000000000
31000200211111110010210222122201
4300001200311010310000000
5210140431443230431422
62025112343303442544
762326301463655501
oct6001406504640000
91020744403728581
10211210202202112
116133081a9a4953
121b831b51456454
1390b1062567c89
143a228b21d6ba8
1519640de6bc727
hexc01835134000

211210202202112 has 120 divisors (see below), whose sum is σ = 423344439221760. Its totient is φ = 105371123712000.

The previous prime is 211210202202067. The next prime is 211210202202149. The reversal of 211210202202112 is 211202202012112.

It is a self number, because there is not a number n which added to its sum of digits gives 211210202202112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15122080953 + ... + 15122094919.

It is an arithmetic number, because the mean of its divisors is an integer number (3527870326848).

Almost surely, 2211210202202112 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 211210202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211672219610880).

211210202202112 is an abundant number, since it is smaller than the sum of its proper divisors (212134237019648).

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

211210202202112 is an equidigital number, since it uses as much as digits as its factorization.

211210202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15975 (or 15949 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211210202202112 its reverse (211202202012112), we get a palindrome (422412404214224).

The spelling of 211210202202112 in words is "two hundred eleven trillion, two hundred ten billion, two hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 751 1024 1229 1502 2048 2458 3004 4096 4916 6008 8192 9832 12016 13967 16384 19664 24032 27934 39328 48064 55868 78656 96128 111736 157312 192256 223472 314624 384512 446944 629248 769024 893888 922979 1258496 1538048 1787776 1845958 2516992 3076096 3575552 3691916 5033984 6152192 7151104 7383832 10067968 10489217 12304384 14302208 14767664 17165443 20135936 20978434 28604416 29535328 34330886 41956868 57208832 59070656 68661772 83913736 114417664 118141312 137323544 167827472 228835328 236282624 274647088 335654944 472565248 549294176 671309888 945130496 1098588352 1342619776 1890260992 2197176704 2685239552 3780521984 4394353408 5370479104 7561043968 8788706816 10740958208 12891247693 15122087936 17577413632 21481916416 25782495386 35154827264 42963832832 51564990772 70309654528 85927665664 103129981544 140619309056 171855331328 206259963088 281238618112 412519926176 825039852352 1650079704704 3300159409408 6600318818816 13200637637632 26401275275264 52802550550528 105605101101056 211210202202112