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120010002021 = 32713892277253
BaseRepresentation
bin110111111000100100…
…1110100111001100101
3102110202200222202200200
41233301021310321211
53431240030031041
6131044250501113
711445650120550
oct1576111647145
9373680882620
10120010002021
1146994576858
121b313134799
13b4172a9b20
145b467cb697
1531c5cce1b6
hex1bf1274e65

120010002021 has 96 divisors (see below), whose sum is σ = 216728628480. Its totient is φ = 62306399232.

The previous prime is 120010001987. The next prime is 120010002031. The reversal of 120010002021 is 120200010021.

It is not a de Polignac number, because 120010002021 - 26 = 120010001957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120010001994 and 120010002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010002031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16542631 + ... + 16549883.

It is an arithmetic number, because the mean of its divisors is an integer number (2257589880).

Almost surely, 2120010002021 is an apocalyptic number.

It is an amenable number.

120010002021 is a deficient number, since it is larger than the sum of its proper divisors (96718626459).

120010002021 is a wasteful number, since it uses less digits than its factorization.

120010002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120010002021 its reverse (120200010021), we get a palindrome (240210012042).

The spelling of 120010002021 in words is "one hundred twenty billion, ten million, two thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 63 89 91 117 227 267 273 623 681 801 819 1157 1589 1869 2043 2951 3471 4767 5607 7253 8099 8853 10413 14301 20203 20657 21759 24297 26559 50771 60609 61971 65277 72891 94289 141421 152313 181827 185913 262639 282867 424263 456939 645517 660023 787917 848601 1272789 1646431 1838473 1936551 1980069 2363751 4518619 4939293 5515419 5809653 5940207 8391721 11525017 13555857 14817879 16546257 21403603 25175163 34575051 40667571 58742047 64210809 75525489 103725153 146532359 149825221 176226141 192632427 439597077 449475663 528678423 1025726513 1318791231 1348426989 1904920667 3077179539 5714762001 9231538617 13334444669 17144286003 40003334007 120010002021