Search a number
-
+
10041213001044 = 2237313191279587
BaseRepresentation
bin1001001000011110011011…
…1011110001110101010100
31022112221010101202121221110
42102013212323301311110
52304003401012013134
633204511454415020
72054311422152301
oct222074673616524
938487111677843
1010041213001044
1132214aaa68765
121162079b01470
1357ab61604a84
14269dd68520a8
151262dd1827e9
hex921e6ef1d54

10041213001044 has 96 divisors (see below), whose sum is σ = 23936868781056. Its totient is φ = 3275319939840.

The previous prime is 10041213001019. The next prime is 10041213001051. The reversal of 10041213001044 is 44010031214001.

It is a self number, because there is not a number n which added to its sum of digits gives 10041213001044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047373219 + ... + 1047382805.

It is an arithmetic number, because the mean of its divisors is an integer number (249342383136).

Almost surely, 210041213001044 is an apocalyptic number.

It is an amenable number.

10041213001044 is an abundant number, since it is smaller than the sum of its proper divisors (13895655780012).

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

10041213001044 is a wasteful number, since it uses less digits than its factorization.

10041213001044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925 (or 18923 counting only the distinct ones).

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

Adding to 10041213001044 its reverse (44010031214001), we get a palindrome (54051244215045).

The spelling of 10041213001044 in words is "ten trillion, forty-one billion, two hundred thirteen million, one thousand, forty-four".

Divisors: 1 2 3 4 6 12 73 131 146 219 262 292 393 438 524 786 876 1572 9127 9563 9587 18254 19126 19174 27381 28689 28761 36508 38252 38348 54762 57378 57522 109524 114756 115044 666271 699851 1195637 1255897 1332542 1399702 1998813 2099553 2391274 2511794 2665084 2799404 3586911 3767691 3997626 4199106 4782548 5023588 7173822 7535382 7995252 8398212 14347644 15070764 87281501 87500549 91680481 174563002 175001098 183360962 261844503 262501647 275041443 349126004 350002196 366721924 523689006 525003294 550082886 1047378012 1050006588 1100165772 6387540077 11462571919 12775080154 19162620231 22925143838 25550160308 34387715757 38325240462 45850287676 68775431514 76650480924 137550863028 836767750087 1673535500174 2510303250261 3347071000348 5020606500522 10041213001044