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21211002002112 = 2631371119690107
BaseRepresentation
bin1001101001010100100100…
…01111010101101011000000
32210002202022012101020020220
410310222102033111223000
510240010113003031422
6113040111053503040
74316305255136556
oct464522217255300
983082265336226
1021211002002112
11683859872a15a
122466a017a1a80
13bab25c047460
14534891a17bd6
1526bb308a8e5c
hex134a923d5ac0

21211002002112 has 112 divisors (see below), whose sum is σ = 61288995462912. Its totient is φ = 6434540098560.

The previous prime is 21211002002107. The next prime is 21211002002123. The reversal of 21211002002112 is 21120020011212.

It is a junction number, because it is equal to n+sod(n) for n = 21211002002091 and 21211002002100.

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, 59667838 + ... + 60022269.

It is an arithmetic number, because the mean of its divisors is an integer number (547223173776).

Almost surely, 221211002002112 is an apocalyptic number.

It is an amenable number.

21211002002112 is an abundant number, since it is smaller than the sum of its proper divisors (40077993460800).

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

21211002002112 is a wasteful number, since it uses less digits than its factorization.

21211002002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119690206 (or 119690196 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21211002002112 its reverse (21120020011212), we get a palindrome (42331022013324).

The spelling of 21211002002112 in words is "twenty-one trillion, two hundred eleven billion, two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 142 156 192 208 213 284 312 416 426 568 624 832 852 923 1136 1248 1704 1846 2272 2496 2769 3408 3692 4544 5538 6816 7384 11076 13632 14768 22152 29536 44304 59072 88608 177216 119690107 239380214 359070321 478760428 718140642 957520856 1436281284 1555971391 1915041712 2872562568 3111942782 3830083424 4667914173 5745125136 6223885564 7660166848 8497997597 9335828346 11490250272 12447771128 16995995194 18671656692 22980500544 24895542256 25493992791 33991990388 37343313384 49791084512 50987985582 67983980776 74686626768 99582169024 101975971164 110473968761 135967961552 149373253536 203951942328 220947937522 271935923104 298746507072 331421906283 407903884656 441895875044 543871846208 662843812566 815807769312 883791750088 1325687625132 1631615538624 1767583500176 2651375250264 3535167000352 5302750500528 7070334000704 10605501001056 21211002002112