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1114410400020 = 223352410385621
BaseRepresentation
bin10000001101111000000…
…010010011100100010100
310221112111011202221022000
4100031320002103210110
5121224303030300040
62211541510235300
7143341062051411
oct20157002234424
93845434687260
101114410400020
1139a6896888a5
1215bb91955b30
138111c42a3a8
143bd1b291108
151dec5b4e130
hex10378093914

1114410400020 has 96 divisors (see below), whose sum is σ = 3467238915840. Its totient is φ = 297160306560.

The previous prime is 1114410400007. The next prime is 1114410400027. The reversal of 1114410400020 is 200040144111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1114410399966 and 1114410400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114410400027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12972810 + ... + 13058430.

It is an arithmetic number, because the mean of its divisors is an integer number (36117072040).

Almost surely, 21114410400020 is an apocalyptic number.

1114410400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114410400020 is an abundant number, since it is smaller than the sum of its proper divisors (2352828515820).

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

1114410400020 is a wasteful number, since it uses less digits than its factorization.

1114410400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109742 (or 109734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1114410400020 its reverse (200040144111), we get a palindrome (1314450544131).

The spelling of 1114410400020 in words is "one trillion, one hundred fourteen billion, four hundred ten million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 24103 48206 72309 85621 96412 120515 144618 171242 216927 241030 256863 289236 342484 361545 428105 433854 482060 513726 650781 723090 770589 856210 867708 1027452 1084635 1284315 1301562 1446180 1541178 1712420 2169270 2311767 2568630 2603124 3082356 3253905 3852945 4338540 4623534 5137260 6507810 7705890 9247068 11558835 13015620 15411780 23117670 46235340 2063722963 4127445926 6191168889 8254891852 10318614815 12382337778 18573506667 20637229630 24764675556 30955844445 37147013334 41274459260 55720520001 61911688890 74294026668 92867533335 111441040002 123823377780 185735066670 222882080004 278602600005 371470133340 557205200010 1114410400020