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1120011012020 = 2252913919337187
BaseRepresentation
bin10000010011000101110…
…110111100011110110100
310222001221111022111122002
4100103011312330132310
5121322240304341040
62214305334554432
7143626626344315
oct20230566743664
93861844274562
101120011012020
113a1aa302155a
12161095508a18
138180283a2a4
143c2cd01860c
151e202694a15
hex104c5dbc7b4

1120011012020 has 96 divisors (see below), whose sum is σ = 2452240828800. Its totient is φ = 429162177024.

The previous prime is 1120011012013. The next prime is 1120011012059. The reversal of 1120011012020 is 202101100211.

It is a junction number, because it is equal to n+sod(n) for n = 1120011011992 and 1120011012010.

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, 155834867 + ... + 155842053.

It is an arithmetic number, because the mean of its divisors is an integer number (25544175300).

Almost surely, 21120011012020 is an apocalyptic number.

1120011012020 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 1120011012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226120414400).

1120011012020 is an abundant number, since it is smaller than the sum of its proper divisors (1332229816780).

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

1120011012020 is a wasteful number, since it uses less digits than its factorization.

1120011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1120011012020 its reverse (202101100211), we get a palindrome (1322112112231).

The spelling of 1120011012020 in words is "one trillion, one hundred twenty billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 139 145 278 290 556 580 695 1390 1933 2780 3866 4031 7187 7732 8062 9665 14374 16124 19330 20155 28748 35935 38660 40310 56057 71870 80620 112114 143740 208423 224228 268687 280285 416846 537374 560570 833692 998993 1042115 1074748 1121140 1343435 1997986 2084230 2686870 3995972 4168460 4994965 5373740 7791923 9989930 13892471 15583846 19979860 27784942 28970797 31167692 38959615 55569884 57941594 69462355 77919230 115883188 138924710 144853985 155838460 277849420 289707970 402881659 579415940 805763318 1611526636 1931053469 2014408295 3862106938 4028816590 7724213876 8057633180 9655267345 19310534690 38621069380 56000550601 112001101202 224002202404 280002753005 560005506010 1120011012020