Search a number
-
+
10023122021100 = 22352109306517493
BaseRepresentation
bin1001000111011011000010…
…1000001010101011101100
31022111012102121101121220020
42101312300220022223230
52303204323214133400
633152320402122140
72053101210313446
oct221666050125354
938435377347806
1010023122021100
113214867095771
12115a66b350350
1357923a59b506
1426919bd01496
15125aced072a0
hex91db0a0aaec

10023122021100 has 72 divisors (see below), whose sum is σ = 29266290327120. Its totient is φ = 2648311130880.

The previous prime is 10023122021071. The next prime is 10023122021117. The reversal of 10023122021100 is 112022132001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10023122021100.

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, 153226047 + ... + 153291446.

Almost surely, 210023122021100 is an apocalyptic number.

10023122021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023122021100 is an abundant number, since it is smaller than the sum of its proper divisors (19243168306020).

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

10023122021100 is a wasteful number, since it uses less digits than its factorization.

10023122021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306517619 (or 306517612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10023122021100 its reverse (112022132001), we get a palindrome (10135144153101).

The spelling of 10023122021100 in words is "ten trillion, twenty-three billion, one hundred twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1308 1635 2180 2725 3270 5450 6540 8175 10900 16350 32700 306517493 613034986 919552479 1226069972 1532587465 1839104958 3065174930 3678209916 4597762395 6130349860 7662937325 9195524790 15325874650 18391049580 22988811975 30651749300 33410406737 45977623950 66820813474 91955247900 100231220211 133641626948 167052033685 200462440422 334104067370 400924880844 501156101055 668208134740 835260168425 1002312202110 1670520336850 2004624404220 2505780505275 3341040673700 5011561010550 10023122021100