Search a number
-
+
10211223144 = 2331078114903
BaseRepresentation
bin10011000001010001…
…01110011001101000
3222100122012212210210
421200220232121220
5131403033120034
64405125541120
7511020651603
oct114050563150
928318185723
1010211223144
11436aa730a1
121b8b8747a0
13c696a3c95
146cc22733a
153eb6d28e9
hex260a2e668

10211223144 has 64 divisors (see below), whose sum is σ = 25803671040. Its totient is φ = 3367085760.

The previous prime is 10211223107. The next prime is 10211223199. The reversal of 10211223144 is 44132211201.

It is a super-2 number, since 2×102112231442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10211223144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080197 + ... + 2085099.

It is an arithmetic number, because the mean of its divisors is an integer number (403182360).

Almost surely, 210211223144 is an apocalyptic number.

It is an amenable number.

10211223144 is an abundant number, since it is smaller than the sum of its proper divisors (15592447896).

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

10211223144 is a wasteful number, since it uses less digits than its factorization.

10211223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10211223144 its reverse (44132211201), we get a palindrome (54343434345).

The spelling of 10211223144 in words is "ten billion, two hundred eleven million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 811 856 1284 1622 2433 2568 3244 4866 4903 6488 9732 9806 14709 19464 19612 29418 39224 58836 86777 117672 173554 260331 347108 520662 524621 694216 1041324 1049242 1573863 2082648 2098484 3147726 3976333 4196968 6295452 7952666 11928999 12590904 15905332 23857998 31810664 47715996 95431992 425467631 850935262 1276402893 1701870524 2552805786 3403741048 5105611572 10211223144