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120002021022 = 2313101131116279
BaseRepresentation
bin110111111000010101…
…1011000011010011110
3102110202010222021211010
41233300223120122132
53431231004133042
6131043403440050
711445522230412
oct1576053303236
9373663867733
10120002021022
1146990015594
121b310526026
13b415744240
145b45710d42
1531c525459c
hex1bf0ad869e

120002021022 has 64 divisors (see below), whose sum is σ = 263019778560. Its totient is φ = 36278736000.

The previous prime is 120002021003. The next prime is 120002021101. The reversal of 120002021022 is 220120200021.

120002021022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120002020989 and 120002021007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973879 + ... + 1090157.

It is an arithmetic number, because the mean of its divisors is an integer number (4109684040).

Almost surely, 2120002021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131509889280).

120002021022 is an abundant number, since it is smaller than the sum of its proper divisors (143017757538).

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

120002021022 is a wasteful number, since it uses less digits than its factorization.

120002021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116529.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120002021022 its reverse (220120200021), we get a palindrome (340122221043).

The spelling of 120002021022 in words is "one hundred twenty billion, two million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 101 131 202 262 303 393 606 786 1313 1703 2626 3406 3939 5109 7878 10218 13231 26462 39693 79386 116279 172003 232558 344006 348837 516009 697674 1032018 1511627 3023254 4534881 9069762 11744179 15232549 23488358 30465098 35232537 45697647 70465074 91395294 152674327 198023137 305348654 396046274 458022981 594069411 916045962 1188138822 1538487449 3076974898 4615462347 9230924694 20000336837 40000673674 60001010511 120002021022