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212101000020112 = 24710349331372707
BaseRepresentation
bin110000001110011110011100…
…110000110100000010010000
31000210222122202101001210022111
4300032132130300310002100
5210300030322001120422
62031033504304315104
762450535335332210
oct6016363460640220
91023878671053274
10212101000020112
1161644590060155
121b956717912a94
139147066704578
143a53a593b8240
15197c378dd1a77
hexc0e79cc34090

212101000020112 has 80 divisors (see below), whose sum is σ = 474222829796352. Its totient is φ = 90015833854080.

The previous prime is 212101000020083. The next prime is 212101000020257. The reversal of 212101000020112 is 211020000101212.

It is a junction number, because it is equal to n+sod(n) for n = 212101000020092 and 212101000020101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568896063 + ... + 569268769.

Almost surely, 2212101000020112 is an apocalyptic number.

It is an amenable number.

212101000020112 is an abundant number, since it is smaller than the sum of its proper divisors (262121829776240).

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

212101000020112 is a wasteful number, since it uses less digits than its factorization.

212101000020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422156 (or 422150 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212101000020112 its reverse (211020000101212), we get a palindrome (423121000121324).

The spelling of 212101000020112 in words is "two hundred twelve trillion, one hundred one billion, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 11536 49331 98662 197324 345317 372707 394648 690634 745414 789296 1381268 1490828 2608949 2762536 2981656 5081093 5217898 5525072 5963312 10162186 10435796 20324372 20871592 35567651 38388821 40648744 41743184 71135302 76777642 81297488 142270604 153555284 268721747 284541208 307110568 537443494 569082416 614221136 1074886988 2149773976 4299547952 18386009017 36772018034 73544036068 128702063119 147088072136 257404126238 294176144272 514808252476 1029616504952 1893758928751 2059233009904 3787517857502 7575035715004 13256312501257 15150071430008 26512625002514 30300142860016 53025250005028 106050500010056 212101000020112