Search a number
-
+
21122021120202 = 235379311458199
BaseRepresentation
bin1001100110101110110101…
…00100001101100011001010
32202210020121222011002100000
410303113122210031203022
510232030344401321302
6112531153400423430
74310005242131022
oct463273244154312
982706558132300
1021122021120202
1168038872aa622
12245170a177b76
13ba2a4b3c7242
14530450202a82
15269673c3831c
hex1335da90d8ca

21122021120202 has 48 divisors (see below), whose sum is σ = 47471872593600. Its totient is φ = 7038816864192.

The previous prime is 21122021120173. The next prime is 21122021120243. The reversal of 21122021120202 is 20202112022112.

It is a happy number.

21122021120202 is a `hidden beast` number, since 2 + 11 + 220 + 211 + 20 + 202 = 666.

It is a super-2 number, since 2×211220211202022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3885702 + ... + 7572497.

It is an arithmetic number, because the mean of its divisors is an integer number (988997345700).

Almost surely, 221122021120202 is an apocalyptic number.

21122021120202 is an abundant number, since it is smaller than the sum of its proper divisors (26349851473398).

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

21122021120202 is a wasteful number, since it uses less digits than its factorization.

21122021120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462009 (or 11461997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122021120202 its reverse (20202112022112), we get a palindrome (41324133142314).

The spelling of 21122021120202 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 3793 7586 11379 22758 34137 68274 102411 204822 307233 614466 921699 1843398 11458199 22916398 34374597 68749194 103123791 206247582 309371373 618742746 928114119 1856228238 2784342357 5568684714 43460948807 86921897614 130382846421 260765692842 391148539263 782297078526 1173445617789 2346891235578 3520336853367 7040673706734 10561010560101 21122021120202