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1105203433344 = 27367349912277
BaseRepresentation
bin10000000101010011010…
…000100000111110000000
310220122201112020120101020
4100011103100200332000
5121101424034331334
62203420133105440
7142563654116103
oct20052320407600
93818645216336
101105203433344
1139679458652a
1215a242488280
13802b2b23b0a
143b6c65a273a
151db376dde49
hex10153420f80

1105203433344 has 128 divisors (see below), whose sum is σ = 2980607280000. Its totient is φ = 362769352704.

The previous prime is 1105203433337. The next prime is 1105203433381. The reversal of 1105203433344 is 4433343025011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90016134 + ... + 90028410.

It is an arithmetic number, because the mean of its divisors is an integer number (23285994375).

Almost surely, 21105203433344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105203433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490303640000).

1105203433344 is an abundant number, since it is smaller than the sum of its proper divisors (1875403846656).

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

1105203433344 is a wasteful number, since it uses less digits than its factorization.

1105203433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15860 (or 15848 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 1105203433344 its reverse (4433343025011), we get a palindrome (5538546458355).

The spelling of 1105203433344 in words is "one trillion, one hundred five billion, two hundred three million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 3499 4288 6432 6998 8576 10497 12277 12864 13996 20994 24554 25728 27992 36831 41988 49108 55984 73662 83976 98216 111968 147324 167952 196432 223936 234433 294648 335904 392864 447872 468866 589296 671808 703299 785728 822559 937732 1178592 1343616 1406598 1571456 1645118 1875464 2357184 2467677 2813196 3290236 3750928 4714368 4935354 5626392 6580472 7501856 9870708 11252784 13160944 15003712 19741416 22505568 26321888 30007424 39482832 42957223 45011136 52643776 78965664 85914446 90022272 105287552 128871669 157931328 171828892 257743338 315862656 343657784 515486676 687315568 1030973352 1374631136 2061946704 2749262272 2878133941 4123893408 5498524544 5756267882 8247786816 8634401823 11512535764 16495573632 17268803646 23025071528 34537607292 46050143056 69075214584 92100286112 138150429168 184200572224 276300858336 368401144448 552601716672 1105203433344