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21121021000212 = 22377612347140779
BaseRepresentation
bin1001100110101100111101…
…11101000011101000010100
32202210011001021020201121220
410303112132331003220110
510232021322334001322
6112530510232410340
74306641406220220
oct463263675035024
982704037221556
1021121021000212
116803413804681
12245148b2469b0
13ba291c147573
14530397463780
1526961603155c
hex13359ef43a14

21121021000212 has 96 divisors (see below), whose sum is σ = 56421164190720. Its totient is φ = 6024037029120.

The previous prime is 21121021000147. The next prime is 21121021000213. The reversal of 21121021000212 is 21200012012112.

It is a junction number, because it is equal to n+sod(n) for n = 21121021000191 and 21121021000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121021000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149959239 + ... + 150100017.

It is an arithmetic number, because the mean of its divisors is an integer number (587720460320).

Almost surely, 221121021000212 is an apocalyptic number.

It is an amenable number.

21121021000212 is an abundant number, since it is smaller than the sum of its proper divisors (35300143190508).

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

21121021000212 is a wasteful number, since it uses less digits than its factorization.

21121021000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143901 (or 143899 counting only the distinct ones).

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

Adding to 21121021000212 its reverse (21200012012112), we get a palindrome (42321033012324).

The spelling of 21121021000212 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 761 1522 2283 2347 3044 4566 4694 5327 7041 9132 9388 10654 14082 15981 16429 21308 28164 31962 32858 49287 63924 65716 98574 140779 197148 281558 422337 563116 844674 985453 1689348 1786067 1970906 2956359 3572134 3941812 5358201 5912718 7144268 10716402 11825436 12502469 21432804 25004938 37507407 50009876 75014814 107132819 150029628 214265638 321398457 330408313 428531276 642796914 660816626 749929733 991224939 1285593828 1321633252 1499859466 1982449878 2249789199 2312858191 2999718932 3964899756 4499578398 4625716382 6938574573 8999156796 9251432764 13877149146 27754298292 251440726193 502881452386 754322178579 1005762904772 1508644357158 1760085083351 3017288714316 3520170166702 5280255250053 7040340333404 10560510500106 21121021000212