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201011000120 = 23574117509669
BaseRepresentation
bin1011101100110100110…
…0000111001100111000
3201012211210122210221022
42323031030013030320
511243132304000440
6232202043202012
720344145211140
oct2731514071470
9635753583838
10201011000120
1178280518597
1232b5a216308
1315c5590b1b8
149a2c493920
1553670c9cb5
hex2ecd307338

201011000120 has 64 divisors (see below), whose sum is σ = 529492420800. Its totient is φ = 67237125120.

The previous prime is 201011000111. The next prime is 201011000129. The reversal of 201011000120 is 21000110102.

201011000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201011000111) and next prime (201011000129).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 201011000098 and 201011000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011000129) 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 15 ways as a sum of consecutive naturals, for example, 8743355 + ... + 8766314.

It is an arithmetic number, because the mean of its divisors is an integer number (8273319075).

Almost surely, 2201011000120 is an apocalyptic number.

201011000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011000120 is an abundant number, since it is smaller than the sum of its proper divisors (328481420680).

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

201011000120 is a wasteful number, since it uses less digits than its factorization.

201011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17509728 (or 17509724 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201011000120 its reverse (21000110102), we get a palindrome (222011110222).

The spelling of 201011000120 in words is "two hundred one billion, eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 17509669 35019338 70038676 87548345 122567683 140077352 175096690 245135366 350193380 490270732 612838415 700386760 717896429 980541464 1225676830 1435792858 2451353660 2871585716 3589482145 4902707320 5025275003 5743171432 7178964290 10050550006 14357928580 20101100012 25126375015 28715857160 40202200024 50252750030 100505500060 201011000120