Search a number
-
+
1120101212112 = 243294491792139
BaseRepresentation
bin10000010011001011001…
…111000001111111010000
310222002011210001010220020
4100103023033001333100
5121322431402241422
62214322320143440
7143632103132331
oct20231317017720
93862153033806
101120101212112
113a2039a2a193
121610bb767b80
138181842c31c
143c2dadb8288
151e20a56095c
hex104cb3c1fd0

1120101212112 has 80 divisors (see below), whose sum is σ = 3000042360000. Its totient is φ = 359689265152.

The previous prime is 1120101212107. The next prime is 1120101212173. The reversal of 1120101212112 is 2112121010211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120101212091 and 1120101212100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 271062 + ... + 1521077.

It is an arithmetic number, because the mean of its divisors is an integer number (37500529500).

Almost surely, 21120101212112 is an apocalyptic number.

1120101212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120101212112 is an abundant number, since it is smaller than the sum of its proper divisors (1879941147888).

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

1120101212112 is a wasteful number, since it uses less digits than its factorization.

1120101212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792628 (or 1792622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1120101212112 its reverse (2112121010211), we get a palindrome (3232222222323).

The spelling of 1120101212112 in words is "one trillion, one hundred twenty billion, one hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 449 464 696 898 1347 1392 1796 2694 3592 5388 7184 10776 13021 21552 26042 39063 52084 78126 104168 156252 208336 312504 625008 1792139 3584278 5376417 7168556 10752834 14337112 21505668 28674224 43011336 51972031 86022672 103944062 155916093 207888124 311832186 415776248 623664372 804670411 831552496 1247328744 1609340822 2414011233 2494657488 3218681644 4828022466 6437363288 9656044932 12874726576 19312089864 23335441919 38624179728 46670883838 70006325757 93341767676 140012651514 186683535352 280025303028 373367070704 560050606056 1120101212112