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21211010001012 = 22313975347262153
BaseRepresentation
bin1001101001010100100101…
…01101110110100001110100
32210002202022202102121200110
410310222102231312201310
510240010122030013022
6113040111541143020
74316305413133146
oct464522255664164
983082282377613
1021211010001012
1168385a21a2917
122466a043baa70
13bab2608b8230
14534892adac96
1526bb3143900c
hex134a92b76874

21211010001012 has 96 divisors (see below), whose sum is σ = 53859216326272. Its totient is φ = 6457948839936.

The previous prime is 21211010000977. The next prime is 21211010001061. The reversal of 21211010001012 is 21010001011212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80779728 + ... + 81041880.

Almost surely, 221211010001012 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 21211010001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929608163136).

21211010001012 is an abundant number, since it is smaller than the sum of its proper divisors (32648206325260).

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

21211010001012 is a wasteful number, since it uses less digits than its factorization.

21211010001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267617 (or 267615 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211010001012 its reverse (21010001011212), we get a palindrome (42221011012224).

The spelling of 21211010001012 in words is "twenty-one trillion, two hundred eleven billion, ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 3783 5044 5347 7566 10694 15132 16041 21388 32082 64164 69511 139022 208533 262153 278044 417066 518659 524306 786459 834132 1037318 1048612 1555977 1572918 2074636 3111954 3145836 3407989 6223908 6742567 6815978 10223967 13485134 13631956 20227701 20447934 25428841 26970268 40455402 40895868 50857682 76286523 80910804 101715364 152573046 305146092 330574933 661149866 991724799 1322299732 1401732091 1983449598 2803464182 3966899196 4205196273 5606928364 8410392546 16820785092 18222517183 36445034366 54667551549 72890068732 109335103098 135968012827 218670206196 271936025654 407904038481 543872051308 815808076962 1631616153924 1767584166751 3535168333502 5302752500253 7070336667004 10605505000506 21211010001012