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1120011331120 = 245113373776677
BaseRepresentation
bin10000010011000101111…
…000001010011000110000
310222001221111220201100121
4100103011320022120300
5121322240400043440
62214305345500024
7143626632143533
oct20230570123060
93861844821317
101120011331120
113a1aa321a280
12161095641614
138180291c5c6
143c2cd09ca1a
151e20270934a
hex104c5e0a630

1120011331120 has 80 divisors (see below), whose sum is σ = 2849186310048. Its totient is φ = 406068203520.

The previous prime is 1120011331111. The next prime is 1120011331139. The reversal of 1120011331120 is 211331100211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11200113311203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1120011331094 and 1120011331103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1591779 + ... + 2184898.

Almost surely, 21120011331120 is an apocalyptic number.

1120011331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120011331120 is an abundant number, since it is smaller than the sum of its proper divisors (1729174978928).

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

1120011331120 is a wasteful number, since it uses less digits than its factorization.

1120011331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777038 (or 3777032 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1120011331120 its reverse (211331100211), we get a palindrome (1331342431331).

The spelling of 1120011331120 in words is "one trillion, one hundred twenty billion, eleven million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 337 440 674 880 1348 1685 2696 3370 3707 5392 6740 7414 13480 14828 18535 26960 29656 37070 59312 74140 148280 296560 3776677 7553354 15106708 18883385 30213416 37766770 41543447 60426832 75533540 83086894 151067080 166173788 207717235 302134160 332347576 415434470 664695152 830868940 1272740149 1661737880 2545480298 3323475760 5090960596 6363700745 10181921192 12727401490 14000141639 20363842384 25454802980 28000283278 50909605960 56000566556 70000708195 101819211920 112001133112 140001416390 224002266224 280002832780 560005665560 1120011331120