Search a number
-
+
10211212110020 = 2252277098533719
BaseRepresentation
bin1001010010010111101110…
…1010111010100011000100
31100011011220221002010210212
42110211323222322203010
52314300030300010040
633414544401334552
72102510232556565
oct224457352724304
940134827063725
1010211212110020
113287607037449
12118b002337458
13590bb430940c
1427432233616c
1512a93c8a3d65
hex9497baba8c4

10211212110020 has 96 divisors (see below), whose sum is σ = 21599480044800. Its totient is φ = 4054904815104.

The previous prime is 10211212109963. The next prime is 10211212110041. The reversal of 10211212110020 is 2001121211201.

10211212110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10211212109977 and 10211212110004.

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, 2745685721 + ... + 2745689439.

It is an arithmetic number, because the mean of its divisors is an integer number (224994583800).

Almost surely, 210211212110020 is an apocalyptic number.

10211212110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211212110020 is an abundant number, since it is smaller than the sum of its proper divisors (11388267934780).

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

10211212110020 is a wasteful number, since it uses less digits than its factorization.

10211212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211212110020 its reverse (2001121211201), we get a palindrome (12212333321221).

The spelling of 10211212110020 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 227 454 709 853 908 1135 1418 1706 2270 2836 3412 3545 3719 4265 4540 7090 7438 8530 14180 14876 17060 18595 37190 74380 160943 193631 321886 387262 604777 643772 774524 804715 844213 968155 1209554 1609430 1688426 1936310 2419108 2636771 3023885 3172307 3218860 3376852 3872620 4221065 5273542 6047770 6344614 8442130 10547084 12095540 12689228 13183855 15861535 16884260 26367710 31723070 52735420 63446140 137284379 274568758 549137516 598547017 686421895 720113689 1197094034 1372843790 1440227378 2249165663 2394188068 2745687580 2880454756 2992735085 3600568445 4498331326 5985470170 7201136890 8996662652 11245828315 11970940340 14402273780 22491656630 44983313260 510560605501 1021121211002 2042242422004 2552803027505 5105606055010 10211212110020