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21120020010 = 232513713912323
BaseRepresentation
bin10011101010110110…
…011110111000101010
32000111220001011212100
4103222312132320222
5321223211120020
613411415154230
71345242131235
oct235266367052
960456034770
1021120020010
118a587786a1
124115075976
131cb7747b7b
141044d5641c
15839258a90
hex4ead9ee2a

21120020010 has 96 divisors (see below), whose sum is σ = 55715325120. Its totient is φ = 5550223104.

The previous prime is 21120019961. The next prime is 21120020029. The reversal of 21120020010 is 1002002112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21120019974 and 21120020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1707709 + ... + 1720031.

It is an arithmetic number, because the mean of its divisors is an integer number (580367970).

Almost surely, 221120020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857662560).

21120020010 is an abundant number, since it is smaller than the sum of its proper divisors (34595305110).

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

21120020010 is a wasteful number, since it uses less digits than its factorization.

21120020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12612 (or 12609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21120020010 its reverse (1002002112), we get a palindrome (22122022122).

The spelling of 21120020010 in words is "twenty-one billion, one hundred twenty million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 139 274 278 411 417 685 695 822 834 1233 1251 1370 1390 2055 2085 2466 2502 4110 4170 6165 6255 12323 12330 12510 19043 24646 36969 38086 57129 61615 73938 95215 110907 114258 123230 171387 184845 190430 221814 285645 342774 369690 554535 571290 856935 1109070 1688251 1712897 1713870 3376502 3425794 5064753 5138691 8441255 8564485 10129506 10277382 15194259 15416073 16882510 17128970 25323765 25693455 30388518 30832146 50647530 51386910 75971295 77080365 151942590 154160730 234666889 469333778 704000667 1173334445 1408001334 2112002001 2346668890 3520003335 4224004002 7040006670 10560010005 21120020010