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1223002010104 = 23731771369263
BaseRepresentation
bin10001110011000000100…
…110011011000111111000
311022220210010001021220121
4101303000212123013320
5130014202003310404
62333501145303024
7154234062364000
oct21630046330770
94286703037817
101223002010104
114317438297a6
12179038a94a74
138b436bcba84
144329d3bb000
1521c2e295e54
hex11cc099b1f8

1223002010104 has 128 divisors (see below), whose sum is σ = 2871396864000. Its totient is φ = 486362365440.

The previous prime is 1223002010077. The next prime is 1223002010149. The reversal of 1223002010104 is 4010102003221.

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 31 ways as a sum of consecutive naturals, for example, 3127377 + ... + 3496639.

It is an arithmetic number, because the mean of its divisors is an integer number (22432788000).

Almost surely, 21223002010104 is an apocalyptic number.

1223002010104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223002010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435698432000).

1223002010104 is an abundant number, since it is smaller than the sum of its proper divisors (1648394853896).

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

1223002010104 is a wasteful number, since it uses less digits than its factorization.

1223002010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369378 (or 369360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1223002010104 its reverse (4010102003221), we get a palindrome (5233104013325).

The spelling of 1223002010104 in words is "one trillion, two hundred twenty-three billion, two million, ten thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 71 98 119 136 142 196 238 284 343 392 476 497 568 686 833 952 994 1207 1372 1666 1988 2414 2744 3332 3479 3976 4828 5831 6664 6958 8449 9656 11662 13916 16898 23324 24353 27832 33796 46648 48706 59143 67592 97412 118286 194824 236572 369263 414001 473144 738526 828002 1477052 1656004 2584841 2954104 3312008 5169682 6277471 10339364 12554942 18093887 20678728 25109884 26217673 36187774 43942297 50219768 52435346 72375548 87884594 104870692 126657209 144751096 175769188 183523711 209741384 253314418 307596079 351538376 367047422 445700441 506628836 615192158 734094844 891400882 1013257672 1230384316 1284665977 1468189688 1782801764 2153172553 2460768632 2569331954 3119903087 3565603528 4306345106 5138663908 6239806174 8612690212 8992661839 10277327816 12479612348 17225380424 17985323678 21839321609 24959224696 35970647356 43678643218 71941294712 87357286436 152875251263 174714572872 305750502526 611501005052 1223002010104