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2102022120212 = 2272331613199751
BaseRepresentation
bin11110100101101010010…
…010000010001100010100
321102221200112110112122222
4132211222102002030110
5233414420130321322
64245353341041512
7304603032134540
oct36455222021424
97387615415588
102102022120212
1174050a761813
1229b476b56298
131232b1c94641
1473a4a2c6a20
1539a299e8e42
hex1e96a482314

2102022120212 has 48 divisors (see below), whose sum is σ = 4224726035712. Its totient is φ = 896439648000.

The previous prime is 2102022120157. The next prime is 2102022120229. The reversal of 2102022120212 is 2120212202012.

It is a happy number.

It is a super-3 number, since 3×21020221202123 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10423337 + ... + 10623087.

It is an arithmetic number, because the mean of its divisors is an integer number (88015125744).

Almost surely, 22102022120212 is an apocalyptic number.

It is an amenable number.

2102022120212 is an abundant number, since it is smaller than the sum of its proper divisors (2122703915500).

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

2102022120212 is a wasteful number, since it uses less digits than its factorization.

2102022120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201608 (or 201606 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2102022120212 its reverse (2120212202012), we get a palindrome (4222234322224).

The spelling of 2102022120212 in words is "two trillion, one hundred two billion, twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 233 466 932 1613 1631 3226 3262 6452 6524 11291 22582 45164 199751 375829 399502 751658 799004 1398257 1503316 2630803 2796514 5261606 5593028 10523212 46541983 93083966 186167932 322198363 325793881 644396726 651587762 1288793452 1303175524 2255388541 4510777082 9021554164 75072218579 150144437158 300288874316 525505530053 1051011060106 2102022120212