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1112100341440 = 26511827338189
BaseRepresentation
bin10000001011101110010…
…110001000011011000000
310221022112011222210122211
4100023232112020123000
5121210040141411230
62210520345511504
7143226611634634
oct20135626103300
93838464883584
101112100341440
11399703717680
1215b6481a2594
1380b41972b1a
143bb7c564dc4
151dddce4242a
hex102ee5886c0

1112100341440 has 112 divisors (see below), whose sum is σ = 2889358244640. Its totient is φ = 404340654080.

The previous prime is 1112100341419. The next prime is 1112100341441. The reversal of 1112100341440 is 441430012111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1112100341441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29101866 + ... + 29140054.

It is an arithmetic number, because the mean of its divisors is an integer number (25797841470).

Almost surely, 21112100341440 is an apocalyptic number.

1112100341440 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 1112100341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444679122320).

1112100341440 is an abundant number, since it is smaller than the sum of its proper divisors (1777257903200).

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

1112100341440 is a wasteful number, since it uses less digits than its factorization.

1112100341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46490 (or 46480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1112100341440 its reverse (441430012111), we get a palindrome (1553530353551).

The spelling of 1112100341440 in words is "one trillion, one hundred twelve billion, one hundred million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 8273 16546 33092 38189 41365 66184 76378 82730 91003 132368 152756 165460 182006 190945 264736 305512 330920 364012 381890 420079 455015 529472 611024 661840 728024 763780 840158 910030 1222048 1323680 1456048 1527560 1680316 1820060 2100395 2444096 2647360 2912096 3055120 3360632 3640120 4200790 5824192 6110240 6721264 7280240 8401580 12220480 13442528 14560480 16803160 26885056 29120960 33606320 67212640 134425280 315937597 631875194 1263750388 1579687985 2527500776 3159375970 3475313567 5055001552 6318751940 6950627134 10110003104 12637503880 13901254268 17376567835 20220006208 25275007760 27802508536 34753135670 50550015520 55605017072 69506271340 101100031040 111210034144 139012542680 222420068288 278025085360 556050170720 1112100341440