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110200141020 = 223510769124841
BaseRepresentation
bin110011010100001110…
…0001011010011011100
3101112110001000012020110
41212220130023103130
53301142214003040
6122343015250020
710650601512654
oct1465034132334
9345401005213
10110200141020
114281011a012
1219435979910
13a512b03448
145495a01364
152cee97d980
hex19a870b4dc

110200141020 has 96 divisors (see below), whose sum is σ = 311907407616. Its totient is φ = 29068761600.

The previous prime is 110200141019. The next prime is 110200141021. The reversal of 110200141020 is 20141002011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110200141019) and next prime (110200141021).

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

It is a junction number, because it is equal to n+sod(n) for n = 110200140987 and 110200141005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110200141021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4423800 + ... + 4448640.

It is an arithmetic number, because the mean of its divisors is an integer number (3249035496).

Almost surely, 2110200141020 is an apocalyptic number.

110200141020 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 110200141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155953703808).

110200141020 is an abundant number, since it is smaller than the sum of its proper divisors (201707266596).

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

110200141020 is a wasteful number, since it uses less digits than its factorization.

110200141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25651 (or 25649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110200141020 its reverse (20141002011), we get a palindrome (130341143031).

The spelling of 110200141020 in words is "one hundred ten billion, two hundred million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 691 1070 1284 1382 1605 2073 2140 2764 3210 3455 4146 6420 6910 8292 10365 13820 20730 24841 41460 49682 73937 74523 99364 124205 147874 149046 221811 248410 295748 298092 369685 372615 443622 496820 739370 745230 887244 1109055 1478740 1490460 2218110 2657987 4436220 5315974 7973961 10631948 13289935 15947922 17165131 26579870 31895844 34330262 39869805 51495393 53159740 68660524 79739610 85825655 102990786 159479220 171651310 205981572 257476965 343302620 514953930 1029907860 1836669017 3673338034 5510007051 7346676068 9183345085 11020014102 18366690170 22040028204 27550035255 36733380340 55100070510 110200141020