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110001101002120 = 23571120132250443
BaseRepresentation
bin11001000000101110100000…
…100011001101010110001000
3112102111000001212021111002101
4121000232200203031112020
5103404224223324031440
61025541450322043144
732112213554055346
oct3100564043152610
9472430055244071
10110001101002120
113206022887a3a9
1210406b4a1a94b4
13494c0a04132c3
141d24120260996
15cab5ab1e569a
hex640ba08cd588

110001101002120 has 64 divisors (see below), whose sum is σ = 251197418298240. Its totient is φ = 43344594048000.

The previous prime is 110001101002033. The next prime is 110001101002123. The reversal of 110001101002120 is 21200101100011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110001101002097 and 110001101002106.

It is not an unprimeable number, because it can be changed into a prime (110001101002123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12714382 + ... + 19536061.

It is an arithmetic number, because the mean of its divisors is an integer number (3924959660910).

Almost surely, 2110001101002120 is an apocalyptic number.

110001101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001101002120 is an abundant number, since it is smaller than the sum of its proper divisors (141196317296120).

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

110001101002120 is a wasteful number, since it uses less digits than its factorization.

110001101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32251726 (or 32251722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110001101002120 its reverse (21200101100011), we get a palindrome (131201202102131).

The spelling of 110001101002120 in words is "one hundred ten trillion, one billion, one hundred one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1201 1420 2402 2840 4804 6005 9608 12010 24020 48040 85271 170542 341084 426355 682168 852710 1705420 3410840 32250443 64500886 129001772 161252215 258003544 322504430 645008860 1290017720 2289781453 4579562906 9159125812 11448907265 18318251624 22897814530 38732782043 45795629060 77465564086 91591258120 154931128172 193663910215 309862256344 387327820430 774655640860 1549311281720 2750027525053 5500055050106 11000110100212 13750137625265 22000220200424 27500275250530 55000550501060 110001101002120