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1114020212000 = 2553734937897
BaseRepresentation
bin10000001101100000110…
…001110110110100100000
310221111110222120022221212
4100031200301312310200
5121223003133241000
62211435051205252
7143325313364123
oct20154061666440
93844428508855
101114020212000
1139a4a9404863
1215baa3146828
1381089642bc7
143bcc15223ba
151dea1777c35
hex10360c76d20

1114020212000 has 96 divisors (see below), whose sum is σ = 2737592348400. Its totient is φ = 445535692800.

The previous prime is 1114020211957. The next prime is 1114020212021. The reversal of 1114020212000 is 2120204111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5270179216 + 1108750032784 = 72596^2 + 1052972^2 .

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, 29377052 + ... + 29414948.

Almost surely, 21114020212000 is an apocalyptic number.

1114020212000 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 1114020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368796174200).

1114020212000 is an abundant number, since it is smaller than the sum of its proper divisors (1623572136400).

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

1114020212000 is an equidigital number, since it uses as much as digits as its factorization.

1114020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45271 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1114020212000 its reverse (2120204111), we get a palindrome (1116140416111).

The spelling of 1114020212000 in words is "one trillion, one hundred fourteen billion, twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7349 14698 29396 36745 37897 58792 73490 75794 117584 146980 151588 183725 189485 235168 293960 303176 367450 378970 587920 606352 734900 757940 918625 947425 1175840 1212704 1469800 1515880 1837250 1894850 2939600 3031760 3674500 3789700 4737125 5879200 6063520 7349000 7579400 9474250 14698000 15158800 18948500 29396000 30317600 37897000 75794000 151588000 278505053 557010106 1114020212 1392525265 2228040424 2785050530 4456080848 5570101060 6962626325 8912161696 11140202120 13925252650 22280404240 27850505300 34813131625 44560808480 55701010600 69626263250 111402021200 139252526500 222804042400 278505053000 557010106000 1114020212000