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1114430222100 = 22352131453196663
BaseRepresentation
bin10000001101111001001…
…101111010111100010100
310221112112120002000002010
4100031321031322330110
5121224323114101400
62211543455144220
7143341422406626
oct20157115727424
93845476060063
101114430222100
1139a699897488
1215bb98515070
138112357a830
143bd1db70c16
151dec7767450
hex1037937af14

1114430222100 has 144 divisors (see below), whose sum is σ = 3474857789312. Its totient is φ = 274131095040.

The previous prime is 1114430222077. The next prime is 1114430222117. The reversal of 1114430222100 is 12220344111.

It is a congruent number.

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, 5568369 + ... + 5765031.

Almost surely, 21114430222100 is an apocalyptic number.

1114430222100 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 1114430222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737428894656).

1114430222100 is an abundant number, since it is smaller than the sum of its proper divisors (2360427567212).

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

1114430222100 is a wasteful number, since it uses less digits than its factorization.

1114430222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198146 (or 198139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1114430222100 its reverse (12220344111), we get a palindrome (1126650566211).

The spelling of 1114430222100 in words is "one trillion, one hundred fourteen billion, four hundred thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1453 1950 2906 3900 4359 5812 7265 8718 14530 17436 18889 21795 29060 36325 37778 43590 56667 72650 75556 87180 94445 108975 113334 145300 188890 196663 217950 226668 283335 377780 393326 435900 472225 566670 589989 786652 944450 983315 1133340 1179978 1416675 1888900 1966630 2359956 2556619 2833350 2949945 3933260 4916575 5113238 5666700 5899890 7669857 9833150 10226476 11799780 12783095 14749725 15339714 19666300 25566190 29499450 30679428 38349285 51132380 58998900 63915475 76698570 127830950 153397140 191746425 255661900 285751339 383492850 571502678 766985700 857254017 1143005356 1428756695 1714508034 2857513390 3429016068 3714767407 4286270085 5715026780 7143783475 7429534814 8572540170 11144302221 14287566950 14859069628 17145080340 18573837035 21431350425 22288604442 28575133900 37147674070 42862700850 44577208884 55721511105 74295348140 85725401700 92869185175 111443022210 185738370350 222886044420 278607555525 371476740700 557215111050 1114430222100