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1133131112040 = 2335239285713829
BaseRepresentation
bin10000011111010011111…
…000001001111001101000
311000022210212002122100110
4100133103320021321220
5122031123031041130
62224315300134320
7144603021350634
oct20372370117150
94008725078313
101133131112040
113a7615a76924
121637373973a0
1382b13a6c595
143cbb56c7dc4
151e71e41bab0
hex107d3e09e68

1133131112040 has 128 divisors (see below), whose sum is σ = 3415058496000. Its totient is φ = 300776921088.

The previous prime is 1133131112023. The next prime is 1133131112129. The reversal of 1133131112040 is 402111313311.

It is a super-2 number, since 2×11331311120402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133131111998 and 1133131112016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81931846 + ... + 81945674.

It is an arithmetic number, because the mean of its divisors is an integer number (26680144500).

Almost surely, 21133131112040 is an apocalyptic number.

1133131112040 is a gapful number since it is divisible by the number (10) 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 1133131112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707529248000).

1133131112040 is an abundant number, since it is smaller than the sum of its proper divisors (2281927383960).

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

1133131112040 is a wasteful number, since it uses less digits than its factorization.

1133131112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16939 (or 16935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1133131112040 its reverse (402111313311), we get a palindrome (1535242425351).

The spelling of 1133131112040 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2857 2868 3585 4780 5714 5736 7170 8571 9560 11428 13829 14285 14340 17142 22856 27658 28570 28680 34284 41487 42855 55316 57140 68568 69145 82974 85710 110632 114280 138290 165948 171420 207435 276580 331896 342840 414870 553160 682823 829740 1365646 1659480 2048469 2731292 3305131 3414115 4096938 5462584 6610262 6828230 8193876 9915393 10242345 13220524 13656460 16387752 16525655 19830786 20484690 26441048 27312920 33051310 39509453 39661572 40969380 49576965 66102620 79018906 79323144 81938760 99153930 118528359 132205240 158037812 197547265 198307860 237056718 316075624 395094530 396615720 474113436 592641795 790189060 948226872 1185283590 1580378120 2370567180 4741134360 9442759267 18885518534 28328277801 37771037068 47213796335 56656555602 75542074136 94427592670 113313111204 141641389005 188855185340 226626222408 283282778010 377710370680 566565556020 1133131112040