Search a number
-
+
10100022001112 = 2329437541134257
BaseRepresentation
bin1001001011111001100000…
…1110010011110111011000
31022202112220220021100221002
42102332120032103313120
52310434321113013422
633251515215404132
72061462650335061
oct222763016236730
938675826240832
1010100022001112
11324443912695a
121171550b23648
1358357439c174
1426cbb5079568
15127ad1076692
hex92f98393dd8

10100022001112 has 64 divisors (see below), whose sum is σ = 20048961952800. Its totient is φ = 4761813288960.

The previous prime is 10100022001067. The next prime is 10100022001117. The reversal of 10100022001112 is 21110022000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100022001093 and 10100022001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022001117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75161888 + ... + 75296144.

Almost surely, 210100022001112 is an apocalyptic number.

It is an amenable number.

10100022001112 is a deficient number, since it is larger than the sum of its proper divisors (9948939951688).

10100022001112 is a wasteful number, since it uses less digits than its factorization.

10100022001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141876 (or 141872 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100022001112 its reverse (21110022000101), we get a palindrome (31210044001213).

The spelling of 10100022001112 in words is "ten trillion, one hundred billion, twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 29 43 58 86 116 172 232 344 1247 2494 4988 7541 9976 15082 30164 60328 134257 218689 268514 324263 437378 537028 648526 874756 1074056 1297052 1749512 2594104 3893453 5773051 7786906 9403627 11546102 15573812 18807254 23092204 31147624 37614508 46184408 75229016 167418479 334836958 669673916 1012432037 1339347832 2024864074 4049728148 8099456296 29360529073 43534577591 58721058146 87069155182 117442116292 174138310364 234884232584 348276620728 1262502750139 2525005500278 5050011000556 10100022001112