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1020212121222 = 232729279204193
BaseRepresentation
bin11101101100010010110…
…00011000111010000110
310121112100100002120100100
432312021120120322012
5113203343300334342
62100402354224530
7133464543643110
oct16661130307206
93545310076310
101020212121222
11363740166808
12145882b85146
13752898b2998
14375429883b0
151b810e32e4c
hexed89618e86

1020212121222 has 48 divisors (see below), whose sum is σ = 2613351255840. Its totient is φ = 281437825536.

The previous prime is 1020212121221. The next prime is 1020212121239. The reversal of 1020212121222 is 2221212120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020212121195 and 1020212121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139598443 + ... + 139605750.

It is an arithmetic number, because the mean of its divisors is an integer number (54444817830).

Almost surely, 21020212121222 is an apocalyptic number.

1020212121222 is an abundant number, since it is smaller than the sum of its proper divisors (1593139134618).

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

1020212121222 is a wasteful number, since it uses less digits than its factorization.

1020212121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279204237 (or 279204234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1020212121222 its reverse (2221212120201), we get a palindrome (3241424241423).

The spelling of 1020212121222 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 279204193 558408386 837612579 1675225158 1954429351 2512837737 3908858702 5025675474 5863288053 8096921597 11726576106 16193843194 17589864159 24290764791 35179728318 48581529582 56678451179 72872294373 113356902358 145744588746 170035353537 340070707074 510106060611 1020212121222