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211210020210112 = 26711101424348279
BaseRepresentation
bin110000000001100000101010…
…001110100100010111000000
31000200211110222110100211120021
4300001200222032210113000
5210140431110133210422
62025112313243023224
762326264124032540
oct6001405216442700
91020743873324507
10211210020210112
11613307371a1640
121b831b0050ab14
1390b10339474c1
143a22895d81320
1519640cd71ddc7
hexc0182a3a45c0

211210020210112 has 112 divisors (see below), whose sum is σ = 527712731435520. Its totient is φ = 81474869376000.

The previous prime is 211210020210109. The next prime is 211210020210131. The reversal of 211210020210112 is 211012020012112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211676412 + ... + 212671867.

Almost surely, 2211210020210112 is an apocalyptic number.

211210020210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211210020210112 is an abundant number, since it is smaller than the sum of its proper divisors (316502711225408).

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

211210020210112 is a wasteful number, since it uses less digits than its factorization.

211210020210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424348410 (or 424348400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211210020210112 its reverse (211012020012112), we get a palindrome (422222040222224).

The spelling of 211210020210112 in words is "two hundred eleven trillion, two hundred ten billion, twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 154 176 202 224 308 352 404 448 616 704 707 808 1111 1232 1414 1616 2222 2464 2828 3232 4444 4928 5656 6464 7777 8888 11312 15554 17776 22624 31108 35552 45248 62216 71104 124432 248864 497728 424348279 848696558 1697393116 2970437953 3394786232 4667831069 5940875906 6789572464 9335662138 11881751812 13579144928 18671324276 23763503624 27158289856 32674817483 37342648552 42859176179 47527007248 65349634966 74685297104 85718352358 95054014496 130699269932 149370594208 171436704716 190108028992 261398539864 298741188416 300014233253 342873409432 471450937969 522797079728 600028466506 685746818864 942901875938 1045594159456 1200056933012 1371493637728 1885803751876 2091188318912 2400113866024 2742987275456 3300156565783 3771607503752 4800227732048 6600313131566 7543215007504 9600455464096 13200626263132 15086430015008 19200910928192 26401252526264 30172860030016 52802505052528 105605010105056 211210020210112