Search a number
-
+
120002001021 = 3272318777851
BaseRepresentation
bin110111111000010101…
…1010011100001111101
3102110202010221021101100
41233300223103201331
53431231003013041
6131043403203313
711445522115200
oct1576053234175
9373663837340
10120002001021
1146990001561
121b310516539
13b4157380c6
145b45707937
1531c524d6b6
hex1bf0ad387d

120002001021 has 36 divisors (see below), whose sum is σ = 208140426624. Its totient is φ = 66360546000.

The previous prime is 120002000981. The next prime is 120002001023. The reversal of 120002001021 is 120100200021.

It is not a de Polignac number, because 120002001021 - 213 = 120001992829 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 120002000994 and 120002001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002001023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4375255 + ... + 4402596.

Almost surely, 2120002001021 is an apocalyptic number.

It is an amenable number.

120002001021 is a deficient number, since it is larger than the sum of its proper divisors (88138425603).

120002001021 is a wasteful number, since it uses less digits than its factorization.

120002001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777902 (or 8777892 counting only the distinct ones).

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

Adding to 120002001021 its reverse (120100200021), we get a palindrome (240102201042).

It can be divided in two parts, 12000 and 2001021, that added together give a triangular number (2013021 = T2006).

The spelling of 120002001021 in words is "one hundred twenty billion, two million, one thousand, twenty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 441 651 1519 1953 4557 13671 8777851 26333553 61444957 79000659 184334871 272113381 430114699 553004613 816340143 1290344097 1904793667 2449020429 3871032291 5714381001 13333555669 17143143003 40000667007 120002001021