Search a number
-
+
101100112221020 = 225111753922728411
BaseRepresentation
bin10110111111001100110100…
…010001101001001101011100
3111020222002001122112201022112
4112333030310101221031130
5101222411012212033040
6555004430025333152
730203146012551623
oct2677146421511534
9436862048481275
10101100112221020
112a239353746510
12b409a670371b8
134454913253493
141ad73b316c6ba
15ba4ca503b365
hex5bf33446935c

101100112221020 has 96 divisors (see below), whose sum is σ = 231776562398976. Its totient is φ = 36737430105600.

The previous prime is 101100112221019. The next prime is 101100112221037. The reversal of 101100112221020 is 20122211001101.

It is a super-2 number, since 2×1011001122210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100112220986 and 101100112221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558470615 + ... + 3558499025.

It is an arithmetic number, because the mean of its divisors is an integer number (2414339191656).

Almost surely, 2101100112221020 is an apocalyptic number.

101100112221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100112221020 is an abundant number, since it is smaller than the sum of its proper divisors (130676450177956).

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

101100112221020 is a wasteful number, since it uses less digits than its factorization.

101100112221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39411 (or 39409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100112221020 its reverse (20122211001101), we get a palindrome (121222323222121).

The spelling of 101100112221020 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1753 3506 7012 8765 9227 17530 18454 19283 28411 35060 36908 38566 46135 56822 77132 92270 96415 101497 113644 142055 184540 192830 202994 284110 312521 385660 405988 507485 568220 625042 1014970 1250084 1562605 2029940 3125210 6250420 16174931 32349862 49804483 64699724 80874655 99608966 161749310 177924241 199217932 249022415 262148297 323498620 355848482 498044830 524296594 547849313 711696964 889621205 996089660 1048593188 1095698626 1310741485 1779242410 2191397252 2621482970 2739246565 2883631267 3558484820 5242965940 5478493130 5767262534 10956986260 11534525068 14418156335 28836312670 57672625340 459545964641 919091929282 1838183858564 2297729823205 4595459646410 5055005611051 9190919292820 10110011222102 20220022444204 25275028055255 50550056110510 101100112221020