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106031465000 = 2354171247429
BaseRepresentation
bin110001010111111110…
…1111100001000101000
3101010200111220111210022
41202233331330020220
53214123023340000
6120413222140012
710442362403366
oct1425775741050
9333614814708
10106031465000
1140a70aa801a
1218671881608
139cca274246
1451bc100636
152b589da585
hex18aff7c228

106031465000 has 80 divisors (see below), whose sum is σ = 263045564100. Its totient is φ = 39917696000.

The previous prime is 106031464967. The next prime is 106031465041. The reversal of 106031465000 is 564130601.

It can be written as a sum of positive squares in 10 ways, for example, as 64288324 + 105967176676 = 8018^2 + 325526^2 .

It is a super-2 number, since 2×1060314650002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538715 + ... + 708714.

Almost surely, 2106031465000 is an apocalyptic number.

106031465000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106031465000 is an abundant number, since it is smaller than the sum of its proper divisors (157014099100).

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

106031465000 is a wasteful number, since it uses less digits than its factorization.

106031465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247472 (or 1247453 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 106031465000 its reverse (564130601), we get a palindrome (106595595601).

The spelling of 106031465000 in words is "one hundred six billion, thirty-one million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 85000 1247429 2494858 4989716 6237145 9979432 12474290 21206293 24948580 31185725 42412586 49897160 62371450 84825172 106031465 124742900 155928625 169650344 212062930 249485800 311857250 424125860 530157325 623714500 779643125 848251720 1060314650 1247429000 1559286250 2120629300 2650786625 3118572500 4241258600 5301573250 6237145000 10603146500 13253933125 21206293000 26507866250 53015732500 106031465000