Search a number
-
+
106023050540 = 225112916618033
BaseRepresentation
bin110001010111101110…
…1110101110100101100
3101010122221002000022122
41202233131311310230
53214113400104130
6120412321532112
710442231026421
oct1425735656454
9333587060278
10106023050540
1140a67280120
121866aaa4038
139cc85b9284
1451bad4dd48
152b57dc72e5
hex18af775d2c

106023050540 has 48 divisors (see below), whose sum is σ = 251264674080. Its totient is φ = 37224391680.

The previous prime is 106023050521. The next prime is 106023050543. The reversal of 106023050540 is 45050320601.

It is a super-2 number, since 2×1060230505402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106023050543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8302637 + ... + 8315396.

It is an arithmetic number, because the mean of its divisors is an integer number (5234680710).

Almost surely, 2106023050540 is an apocalyptic number.

106023050540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106023050540 is an abundant number, since it is smaller than the sum of its proper divisors (145241623540).

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

106023050540 is a wasteful number, since it uses less digits than its factorization.

106023050540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618082 (or 16618080 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 106023050540 in words is "one hundred six billion, twenty-three million, fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 16618033 33236066 66472132 83090165 166180330 182798363 332360660 365596726 481922957 731193452 913991815 963845914 1827983630 1927691828 2409614785 3655967260 4819229570 5301152527 9638459140 10602305054 21204610108 26505762635 53011525270 106023050540