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2102022000012 = 22311103915326669
BaseRepresentation
bin11110100101101010010…
…001100100110110001100
321102221200112020102210010
4132211222101210312030
5233414420113000022
64245353334313220
7304603031124234
oct36455221446614
97387615212703
102102022000012
1174050a68a480
1229b476ab8810
131232b1c51a0c
1473a4a294cc4
1539a299c350c
hex1e96a464d8c

2102022000012 has 48 divisors (see below), whose sum is σ = 5355751564800. Its totient is φ = 636363255360.

The previous prime is 2102021999999. The next prime is 2102022000019. The reversal of 2102022000012 is 2100002202012.

It is a super-3 number, since 3×21020220000123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102022000019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7526187 + ... + 7800482.

It is an arithmetic number, because the mean of its divisors is an integer number (111578157600).

Almost surely, 22102022000012 is an apocalyptic number.

2102022000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102022000012 is an abundant number, since it is smaller than the sum of its proper divisors (3253729564788).

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

2102022000012 is a wasteful number, since it uses less digits than its factorization.

2102022000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327726 (or 15327724 counting only the distinct ones).

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

Adding to 2102022000012 its reverse (2100002202012), we get a palindrome (4202024202024).

The spelling of 2102022000012 in words is "two trillion, one hundred two billion, twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1039 2078 3117 4156 6234 11429 12468 22858 34287 45716 68574 137148 15326669 30653338 45980007 61306676 91960014 168593359 183920028 337186718 505780077 674373436 1011560154 2023120308 15924409091 31848818182 47773227273 63697636364 95546454546 175168500001 191092909092 350337000002 525505500003 700674000004 1051011000006 2102022000012