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10120002018 = 2373165311903
BaseRepresentation
bin10010110110011001…
…01111100111100010
3222010021120100221120
421123030233213202
5131211210031033
64352110433110
7505532412030
oct113314574742
928107510846
1010120002018
114323528335
121b65202796
13c53815299
146c007d550
153e36b41b3
hex25b32f9e2

10120002018 has 64 divisors (see below), whose sum is σ = 23916183552. Its totient is φ = 2793637440.

The previous prime is 10120002017. The next prime is 10120002019. The reversal of 10120002018 is 81020002101.

It is an interprime number because it is at equal distance from previous prime (10120002017) and next prime (10120002019).

It is a junction number, because it is equal to n+sod(n) for n = 10120001988 and 10120002006.

It is not an unprimeable number, because it can be changed into a prime (10120002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844255 + ... + 856157.

It is an arithmetic number, because the mean of its divisors is an integer number (373690368).

Almost surely, 210120002018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120002018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958091776).

10120002018 is an abundant number, since it is smaller than the sum of its proper divisors (13796181534).

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

10120002018 is a wasteful number, since it uses less digits than its factorization.

10120002018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120002018 its reverse (81020002101), we get a palindrome (91140004119).

The spelling of 10120002018 in words is "ten billion, one hundred twenty million, two thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 653 1302 1306 1959 3918 4571 9142 11903 13713 20243 23806 27426 35709 40486 60729 71418 83321 121458 141701 166642 249963 283402 368993 425103 499926 737986 850206 1106979 2213958 2582951 5165902 7748853 7772659 15497706 15545318 23317977 46635954 54408613 108817226 163225839 240952429 326451678 481904858 722857287 1445714574 1686667003 3373334006 5060001009 10120002018