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101001120200019 = 32131795353284207
BaseRepresentation
bin10110111101110000100111…
…111001000011010101010011
3111020121121112201121000022100
4112331300213321003111103
5101214300243232400034
6554451135111011443
730163042625345454
oct2675604771032523
9436547481530270
10101001120200019
112a200375293a06
12b3b283a969b83
134448498515920
141ad26a1d3512b
15ba240e55c099
hex5bdc27e43553

101001120200019 has 48 divisors (see below), whose sum is σ = 166529348399232. Its totient is φ = 58437001857024.

The previous prime is 101001120200009. The next prime is 101001120200047. The reversal of 101001120200019 is 910002021100101.

It is a happy number.

It is not a de Polignac number, because 101001120200019 - 215 = 101001120167251 is a prime.

It is a super-2 number, since 2×1010011202000192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001120199974 and 101001120200010.

It is not an unprimeable number, because it can be changed into a prime (101001120200009) 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, 24746587 + ... + 28537620.

It is an arithmetic number, because the mean of its divisors is an integer number (3469361424984).

Almost surely, 2101001120200019 is an apocalyptic number.

101001120200019 is a deficient number, since it is larger than the sum of its proper divisors (65528228199213).

101001120200019 is a wasteful number, since it uses less digits than its factorization.

101001120200019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53285196 (or 53285193 counting only the distinct ones).

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

The spelling of 101001120200019 in words is "one hundred one trillion, one billion, one hundred twenty million, two hundred thousand, nineteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 953 1989 2859 8577 12389 16201 37167 48603 111501 145809 210613 631839 1895517 53284207 159852621 479557863 692694691 905831519 2078084073 2717494557 6234252219 8152483671 11775809747 35327429241 50779849271 105982287723 152339547813 457018643439 660138040523 863257437607 1980414121569 2589772312821 5941242364707 7769316938463 11222346688891 33667040066673 101001120200019