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1133310432012 = 2231137234798869
BaseRepresentation
bin10000011111011110100…
…100001101001100001100
311000100021100112001002220
4100133132210031030030
5122032004432311022
62224345143415340
7144610326504453
oct20373644151414
94010240461086
101133310432012
113a76a8214650
12163787454550
1382b41c65a85
143cbd1445b9a
151e73003d85c
hex107de90d30c

1133310432012 has 96 divisors (see below), whose sum is σ = 2964049831680. Its totient is φ = 333999832320.

The previous prime is 1133310431983. The next prime is 1133310432043. The reversal of 1133310432012 is 2102340133311.

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, 11413314 + ... + 11512182.

It is an arithmetic number, because the mean of its divisors is an integer number (30875519080).

Almost surely, 21133310432012 is an apocalyptic number.

1133310432012 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 1133310432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482024915840).

1133310432012 is an abundant number, since it is smaller than the sum of its proper divisors (1830739399668).

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

1133310432012 is a wasteful number, since it uses less digits than its factorization.

1133310432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101271 (or 101269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1133310432012 its reverse (2102340133311), we get a palindrome (3235650565323).

The spelling of 1133310432012 in words is "one trillion, one hundred thirty-three billion, three hundred ten million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2347 2442 4694 4884 7041 9388 14082 25817 28164 51634 77451 86839 98869 103268 154902 173678 197738 260517 296607 309804 347356 395476 521034 593214 955229 1042068 1087559 1186428 1910458 2175118 2865687 3262677 3658153 3820916 4350236 5731374 6525354 7316306 10974459 11462748 13050708 14632612 21948918 40239683 43897836 80479366 120719049 160958732 232045543 241438098 464091086 482876196 696136629 928182172 1392273258 2552500973 2784546516 5105001946 7657502919 8585685091 10210003892 15315005838 17171370182 25757055273 30630011676 34342740364 51514110546 94442536001 103028221092 188885072002 283327608003 377770144004 566655216006 1133310432012