Search a number
-
+
20221110100120 = 23541523130118121
BaseRepresentation
bin1001001100100000110000…
…00101011010000010011000
32122121010012221010101111011
410212100120011122002120
510122300313141200440
6111001241050543304
74154632646613166
oct446203005320230
978533187111434
1020221110100120
1164967a7540976
122326ba0a37b34
13b38ac4c867c7
144dc9c7c32236
15250ee67549ea
hex12641815a098

20221110100120 has 128 divisors (see below), whose sum is σ = 46734779407680. Its totient is φ = 7869588480000.

The previous prime is 20221110100031. The next prime is 20221110100157. The reversal of 20221110100120 is 2100101112202.

It is a self number, because there is not a number n which added to its sum of digits gives 20221110100120.

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, 1115884660 + ... + 1115902780.

Almost surely, 220221110100120 is an apocalyptic number.

20221110100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221110100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23367389703840).

20221110100120 is an abundant number, since it is smaller than the sum of its proper divisors (26513669307560).

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

20221110100120 is a wasteful number, since it uses less digits than its factorization.

20221110100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19997 (or 19993 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20221110100120 its reverse (2100101112202), we get a palindrome (22321211212322).

The spelling of 20221110100120 in words is "twenty trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 523 820 1046 1301 1640 2092 2602 2615 4184 5204 5230 6505 10408 10460 13010 18121 20920 21443 26020 36242 42886 52040 53341 72484 85772 90605 106682 107215 144968 171544 181210 213364 214430 266705 362420 426728 428860 533410 680423 724840 742961 857720 1066820 1360846 1485922 2133640 2721692 2971844 3402115 3714805 5443384 5943688 6804230 7429610 9477283 13608460 14859220 18954566 23575421 27216920 27897343 29718440 37909132 47150842 47386415 55794686 75818264 94301684 94772830 111589372 117877105 139486715 188603368 189545660 223178744 235754210 278973430 379091320 388568603 471508420 557946860 777137206 943016840 966592261 1115893720 1554274412 1933184522 1942843015 3108548824 3866369044 3885686030 4832961305 7732738088 7771372060 9665922610 12329945183 15542744120 19331845220 24659890366 38663690440 49319780732 61649725915 98639561464 123299451830 246598903660 493197807320 505527752503 1011055505006 2022111010012 2527638762515 4044222020024 5055277525030 10110555050060 20221110100120