Search a number
-
+
10112000120019 = 327297817708041
BaseRepresentation
bin1001001100100110001000…
…1011001101010011010011
31022210200211200012212001200
42103021202023031103103
52311133334012320034
633301215544202243
72062365534556410
oct223114213152323
938720750185050
1010112000120019
1132495254a2986
121173934469383
13584732b422a5
1426d5cdbdd107
15128082923a99
hex932622cd4d3

10112000120019 has 48 divisors (see below), whose sum is σ = 17270673750720. Its totient is φ = 5578312965120.

The previous prime is 10112000120011. The next prime is 10112000120083. The reversal of 10112000120019 is 91002100021101.

It is a happy number.

It is not a de Polignac number, because 10112000120019 - 23 = 10112000120011 is a prime.

It is a super-2 number, since 2×101120001200192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112000119983 and 10112000120010.

It is not an unprimeable number, because it can be changed into a prime (10112000120011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13927639 + ... + 14635679.

It is an arithmetic number, because the mean of its divisors is an integer number (359805703140).

Almost surely, 210112000120019 is an apocalyptic number.

10112000120019 is a deficient number, since it is larger than the sum of its proper divisors (7158673630701).

10112000120019 is a wasteful number, since it uses less digits than its factorization.

10112000120019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715900 (or 715897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10112000120019 in words is "ten trillion, one hundred twelve billion, one hundred twenty thousand, nineteen".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 7817 23451 54719 70353 164157 226693 492471 680079 708041 1586851 2040237 2124123 4760553 4956287 6372369 14281659 14868861 20533189 44606583 61599567 143732323 184798701 431196969 1293590907 5534756497 16604269491 38743295479 49812808473 116229886437 160507938413 348689659311 481523815239 1123555568891 1444571445717 3370666706673 10112000120019