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1103763720972 = 2231183853711801
BaseRepresentation
bin10000000011111101011…
…100011100101100001100
310220112000012011121021210
4100003331130130230030
5121041002003032342
62203021223054420
7142513202553663
oct20037534345414
93815005147253
101103763720972
113961159332a0
12159b002a1410
138011377c6c3
143b5cb2b3dda
151daa110279c
hex100fd71cb0c

1103763720972 has 96 divisors (see below), whose sum is σ = 2844004794624. Its totient is φ = 330377344000.

The previous prime is 1103763720953. The next prime is 1103763720989. The reversal of 1103763720972 is 2790273673011.

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, 93525472 + ... + 93537272.

It is an arithmetic number, because the mean of its divisors is an integer number (29625049944).

Almost surely, 21103763720972 is an apocalyptic number.

1103763720972 is a gapful number since it is divisible by the number (12) 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 1103763720972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422002397312).

1103763720972 is an abundant number, since it is smaller than the sum of its proper divisors (1740241073652).

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

1103763720972 is a wasteful number, since it uses less digits than its factorization.

1103763720972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439 (or 20437 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The spelling of 1103763720972 in words is "one trillion, one hundred three billion, seven hundred sixty-three million, seven hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 3652 5478 8537 10956 11801 17074 23602 25611 34148 35403 47204 51222 70806 93907 102444 129811 141612 187814 259622 281721 375628 389433 519244 563442 708571 778866 979483 1126884 1417142 1557732 1958966 2125713 2834284 2938449 3917932 4251426 5876898 7794281 8502852 10774313 11753796 15588562 21548626 23382843 31177124 32322939 43097252 46765686 64645878 93531372 100745137 129291756 201490274 302235411 402980548 604470822 1108196507 1208941644 2216393014 3324589521 4432786028 6649179042 8361846371 13298358084 16723692742 25085539113 33447385484 50171078226 91980310081 100342156452 183960620162 275940930243 367921240324 551881860486 1103763720972