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1114122130020 = 2232589563123527
BaseRepresentation
bin10000001101100110110…
…110101001001001100100
310221111202002100022012100
4100031212312221021210
5121223210231130040
62211453131452100
7143330661565164
oct20154666511144
93844662308170
101114122130020
1139a550996329
1215bb112b7030
13810a47a8723
143bcd0c925a4
151deaa6aab30
hex10366da9264

1114122130020 has 144 divisors (see below), whose sum is σ = 3423573578880. Its totient is φ = 293236889088.

The previous prime is 1114122130013. The next prime is 1114122130039. The reversal of 1114122130020 is 200312214111.

1114122130020 is a `hidden beast` number, since 1 + 1 + 141 + 221 + 300 + 2 + 0 = 666.

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 = 1114122129975 and 1114122130002.

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, 8957497 + ... + 9081023.

It is an arithmetic number, because the mean of its divisors is an integer number (23774816520).

Almost surely, 21114122130020 is an apocalyptic number.

1114122130020 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 1114122130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711786789440).

1114122130020 is an abundant number, since it is smaller than the sum of its proper divisors (2309451448860).

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

1114122130020 is a wasteful number, since it uses less digits than its factorization.

1114122130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124194 (or 124189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1114122130020 its reverse (200312214111), we get a palindrome (1314434344131).

The spelling of 1114122130020 in words is "one trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 563 801 890 1068 1126 1335 1602 1689 1780 2252 2670 2815 3204 3378 4005 5067 5340 5630 6756 8010 8445 10134 11260 16020 16890 20268 25335 33780 50107 50670 100214 101340 123527 150321 200428 247054 250535 300642 370581 450963 494108 501070 601284 617635 741162 751605 901926 1002140 1111743 1235270 1482324 1503210 1803852 1852905 2223486 2254815 2470540 3006420 3705810 4446972 4509630 5558715 7411620 9019260 10993903 11117430 21987806 22234860 32981709 43975612 54969515 65963418 69545701 98945127 109939030 131926836 139091402 164908545 197890254 208637103 219878060 278182804 329817090 347728505 395780508 417274206 494725635 625911309 659634180 695457010 834548412 989451270 1043185515 1251822618 1390914020 1978902540 2086371030 2503645236 3129556545 4172742060 6189567389 6259113090 12379134778 12518226180 18568702167 24758269556 30947836945 37137404334 55706106501 61895673890 74274808668 92843510835 111412213002 123791347780 185687021670 222824426004 278530532505 371374043340 557061065010 1114122130020