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1212331013442 = 2331737103346529
BaseRepresentation
bin10001101001000100100…
…011110011010101000010
311021220020102200111102000
4101221010203303111002
5124330323214412232
62324534233004430
7153405456405363
oct21510443632502
94256212614360
101212331013442
11428168284a9a
12176b5b253716
138a4261b8673
144296a0adb6a
152180754427c
hex11a448f3542

1212331013442 has 128 divisors (see below), whose sum is σ = 2958090969600. Its totient is φ = 366465835008.

The previous prime is 1212331013429. The next prime is 1212331013477. The reversal of 1212331013442 is 2443101332121.

1212331013442 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 310 + 1 + 344 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 3325234 + ... + 3671762.

It is an arithmetic number, because the mean of its divisors is an integer number (23110085700).

Almost surely, 21212331013442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212331013442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479045484800).

1212331013442 is an abundant number, since it is smaller than the sum of its proper divisors (1745759956158).

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

1212331013442 is a wasteful number, since it uses less digits than its factorization.

1212331013442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346697 (or 346691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1212331013442 its reverse (2443101332121), we get a palindrome (3655432345563).

The spelling of 1212331013442 in words is "one trillion, two hundred twelve billion, three hundred thirty-one million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 103 111 153 206 222 306 309 333 459 618 629 666 918 927 999 1258 1751 1854 1887 1998 2781 3502 3774 3811 5253 5562 5661 7622 10506 11322 11433 15759 16983 22866 31518 33966 34299 47277 64787 68598 94554 102897 129574 194361 205794 346529 388722 583083 693058 1039587 1166166 1749249 2079174 3118761 3498498 5890993 6237522 9356283 11781986 12821573 17672979 18712566 25643146 35345958 35692487 38464719 53018937 71384974 76929438 106037874 107077461 115394157 159056811 214154922 217966741 230788314 318113622 321232383 346182471 435933482 606772279 642464766 653900223 692364942 963697149 1213544558 1307800446 1320622019 1820316837 1927394298 1961700669 2641244038 3640633674 3923401338 3961866057 5460950511 5885102007 7923732114 10921901022 11770204014 11885598171 16382851533 22450574323 23771196342 32765703066 35656794513 44901148646 67351722969 71313589026 134703445938 202055168907 404110337814 606165506721 1212331013442