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220011011102100 = 223523760169329419
BaseRepresentation
bin110010000001100101001110…
…001010011101010110010100
31001211222211212122102111200110
4302001211032022131112110
5212314130022320231400
62055531355125443020
764225161645222051
oct6201451612352624
91054884778374613
10220011011102100
1164114167101369
1220813736570470
13959bc4588663a
143c48838402028
151a67ed0958e50
hexc8194e29d594

220011011102100 has 144 divisors (see below), whose sum is σ = 653782506977600. Its totient is φ = 57082816005120.

The previous prime is 220011011102017. The next prime is 220011011102101. The reversal of 220011011102100 is 1201110110022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220011011102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667711191 + ... + 668040609.

Almost surely, 2220011011102100 is an apocalyptic number.

220011011102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220011011102100 is an abundant number, since it is smaller than the sum of its proper divisors (433771495875500).

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

220011011102100 is a wasteful number, since it uses less digits than its factorization.

220011011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389642 (or 389635 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 220011011102100 its reverse (1201110110022), we get a palindrome (221212121212122).

The spelling of 220011011102100 in words is "two hundred twenty trillion, eleven billion, eleven million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 60169 120338 180507 240676 300845 329419 361014 601690 658838 722028 902535 988257 1203380 1317676 1504225 1647095 1805070 1976514 2226253 3008450 3294190 3610140 3953028 4452506 4512675 4941285 6016900 6588380 6678759 8235475 8905012 9025350 9882570 11131265 12188503 13357518 16470950 18050700 19765140 22262530 24377006 24706425 26715036 32941900 33393795 36565509 44525060 48754012 49412850 55656325 60942515 66787590 73131018 98825700 111312650 121885030 133575180 146262036 166968975 182827545 222625300 243770060 304712575 333937950 365655090 609425150 667875900 731310180 914137725 1218850300 1828275450 3656550900 19820811811 39641623622 59462435433 79283247244 99104059055 118924870866 198208118110 237849741732 297312177165 396416236220 495520295275 594624354330 733370037007 991040590550 1189248708660 1466740074014 1486560885825 1982081181100 2200110111021 2933480148028 2973121771650 3666850185035 4400220222042 5946243543300 7333700370070 8800440444084 11000550555105 14667400740140 18334250925175 22001101110210 36668501850350 44002202220420 55002752775525 73337003700700 110005505551050 220011011102100