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101001000100149 = 3332291221194873
BaseRepresentation
bin10110111101110000100000…
…101110111010000100110101
3111020121121020100121022021000
4112331300200232322010311
5101214300022011201044
6554451115140513513
730163036636460202
oct2675604056720465
9436547210538230
10101001000100149
112a200313514116
12b3b28066ab899
134448479685406
141ad268ddd0ca9
15ba2403c36d69
hex5bdc20bba135

101001000100149 has 32 divisors (see below), whose sum is σ = 149691286409600. Its totient is φ = 67306925220480.

The previous prime is 101001000100093. The next prime is 101001000100151. The reversal of 101001000100149 is 941001000100101.

101001000100149 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-101001000100149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000100199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064544177 + ... + 1064639049.

It is an arithmetic number, because the mean of its divisors is an integer number (4677852700300).

Almost surely, 2101001000100149 is an apocalyptic number.

It is an amenable number.

101001000100149 is a deficient number, since it is larger than the sum of its proper divisors (48690286309451).

101001000100149 is a wasteful number, since it uses less digits than its factorization.

101001000100149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110322 (or 110316 counting only the distinct ones).

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

The spelling of 101001000100149 in words is "one hundred one trillion, one billion, one hundred thousand, one hundred forty-nine".

Divisors: 1 3 9 27 3229 9687 12211 29061 36633 87183 94873 109899 284619 329697 853857 2561571 39429319 118287957 306344917 354863871 919034751 1064591613 1158494203 2757104253 3475482609 8271312759 10426447827 31279343481 3740777781487 11222333344461 33667000033383 101001000100149