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1001113120220 = 225312154333757
BaseRepresentation
bin11101001000101101111…
…11011110110111011100
310112201001021221210100212
432210112333132313130
5112400234424321340
62043523252311552
7132220342055333
oct16442677366734
93481037853325
101001113120220
1135662a291664
121420329125b8
1373534a91365
14366501dcd1a
151b09433ea65
hexe916fdeddc

1001113120220 has 72 divisors (see below), whose sum is σ = 2173814812512. Its totient is φ = 387265034880.

The previous prime is 1001113120213. The next prime is 1001113120243. The reversal of 1001113120220 is 220213111001.

It is a junction number, because it is equal to n+sod(n) for n = 1001113120195 and 1001113120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29639582 + ... + 29673338.

It is an arithmetic number, because the mean of its divisors is an integer number (30191872396).

Almost surely, 21001113120220 is an apocalyptic number.

1001113120220 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 1001113120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086907406256).

1001113120220 is an abundant number, since it is smaller than the sum of its proper divisors (1172701692292).

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

1001113120220 is a wasteful number, since it uses less digits than its factorization.

1001113120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35371 (or 35338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001113120220 its reverse (220213111001), we get a palindrome (1221326231221).

The spelling of 1001113120220 in words is "one trillion, one billion, one hundred thirteen million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1543 1922 3086 3844 4805 6172 7715 9610 15430 19220 30860 33757 47833 67514 95666 135028 168785 191332 239165 337570 478330 675140 956660 1046467 1482823 2092934 2965646 4185868 5232335 5931292 7414115 10464670 14828230 20929340 29656460 32440477 52087051 64880954 104174102 129761908 162202385 208348204 260435255 324404770 520870510 648809540 1041741020 1614698581 3229397162 6458794324 8073492905 16146985810 32293971620 50055656011 100111312022 200222624044 250278280055 500556560110 1001113120220