Search a number
-
+
1110011110020 = 2232547251522737
BaseRepresentation
bin10000001001110001110…
…100010110001010000100
310221010010120201211221100
4100021301310112022010
5121141300321010040
62205533154220100
7143124052521141
oct20116164261204
93833116654840
101110011110020
1139883137413a
1215b164584630
138089ab85607
143ba20cbd3c8
151dd19805b30
hex10271d16284

1110011110020 has 144 divisors (see below), whose sum is σ = 3452379211008. Its totient is φ = 288550272000.

The previous prime is 1110011109983. The next prime is 1110011110051. The reversal of 1110011110020 is 200111100111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110011109984 and 1110011110011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862092 + ... + 2384828.

It is an arithmetic number, because the mean of its divisors is an integer number (23974855632).

Almost surely, 21110011110020 is an apocalyptic number.

1110011110020 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 1110011110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726189605504).

1110011110020 is an abundant number, since it is smaller than the sum of its proper divisors (2342368100988).

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

1110011110020 is a wasteful number, since it uses less digits than its factorization.

1110011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523050 (or 523045 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110011110020 its reverse (200111100111), we get a palindrome (1310122210131).

Subtracting from 1110011110020 its reverse (200111100111), we obtain a palindrome (909900009909).

The spelling of 1110011110020 in words is "one trillion, one hundred ten billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 251 282 423 470 502 564 705 753 846 940 1004 1255 1410 1506 1692 2115 2259 2510 2820 3012 3765 4230 4518 5020 7530 8460 9036 11295 11797 15060 22590 23594 35391 45180 47188 58985 70782 106173 117970 141564 176955 212346 235940 353910 424692 522737 530865 707820 1045474 1061730 1568211 2090948 2123460 2613685 3136422 4704633 5227370 6272844 7841055 9409266 10454740 15682110 18818532 23523165 24568639 31364220 47046330 49137278 73705917 94092660 98274556 122843195 131206987 147411834 221117751 245686390 262413974 294823668 368529585 393620961 442235502 491372780 524827948 656034935 737059170 787241922 884471004 1105588755 1180862883 1312069870 1474118340 1574483844 1968104805 2211177510 2361725766 2624139740 3936209610 4422355020 4723451532 5904314415 6166728389 7872419220 11808628830 12333456778 18500185167 23617257660 24666913556 30833641945 37000370334 55500555501 61667283890 74000740668 92500925835 111001111002 123334567780 185001851670 222002222004 277502777505 370003703340 555005555010 1110011110020