Search a number
-
+
1010021111112 = 23313171910022437
BaseRepresentation
bin11101011001010011111…
…00110001010101001000
310120120001002220121121110
432230221330301111020
5113022010401023422
62051555225410320
7132654156535266
oct16545174612510
93516032817543
101010021111112
1135a39064a002
121438ba0399a0
13743244680a0
1436c57303436
151b4163e460c
hexeb29f31548

1010021111112 has 128 divisors (see below), whose sum is σ = 3030785251200. Its totient is φ = 277100310528.

The previous prime is 1010021111089. The next prime is 1010021111117. The reversal of 1010021111112 is 2111111200101.

1010021111112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1010021111117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4910443 + ... + 5111994.

It is an arithmetic number, because the mean of its divisors is an integer number (23678009775).

Almost surely, 21010021111112 is an apocalyptic number.

1010021111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010021111112 is an abundant number, since it is smaller than the sum of its proper divisors (2020764140088).

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

1010021111112 is a wasteful number, since it uses less digits than its factorization.

1010021111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022495 (or 10022491 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1010021111112 its reverse (2111111200101), we get a palindrome (3121132311213).

The spelling of 1010021111112 in words is "one trillion, ten billion, twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 19 24 26 34 38 39 51 52 57 68 76 78 102 104 114 136 152 156 204 221 228 247 312 323 408 442 456 494 646 663 741 884 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3876 4199 5304 5928 7752 8398 12597 16796 25194 33592 50388 100776 10022437 20044874 30067311 40089748 60134622 80179496 120269244 130291681 170381429 190426303 240538488 260583362 340762858 380852606 390875043 511144287 521166724 571278909 681525716 761705212 781750086 1022288574 1042333448 1142557818 1363051432 1523410424 1563500172 2044577148 2214958577 2285115636 2475541939 3127000344 3237247151 4089154296 4429917154 4570231272 4951083878 6474494302 6644875731 7426625817 8859834308 9711741453 9902167756 12948988604 13289751462 14853251634 17719668616 19423482906 19804335512 25897977208 26579502924 29706503268 38846965812 42084212963 53159005848 59413006536 77693931624 84168425926 126252638889 168336851852 252505277778 336673703704 505010555556 1010021111112