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1220011020 = 223256777839
BaseRepresentation
bin100100010110111…
…1110010000001100
310011000122222111100
41020231332100030
54444310323040
6321021023100
742142631304
oct11055762014
93130588440
101220011020
11576734378
122a06b4a90
131659ac917
14b805c604
157218eb30
hex48b7e40c

1220011020 has 36 divisors (see below), whose sum is σ = 3700700640. Its totient is φ = 325336224.

The previous prime is 1220011003. The next prime is 1220011031. The reversal of 1220011020 is 201100221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1220010993 and 1220011011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3388740 + ... + 3389099.

It is an arithmetic number, because the mean of its divisors is an integer number (102797240).

Almost surely, 21220011020 is an apocalyptic number.

1220011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220011020 is an abundant number, since it is smaller than the sum of its proper divisors (2480689620).

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

1220011020 is a wasteful number, since it uses less digits than its factorization.

1220011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777854 (or 6777849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1220011020 is about 34928.6561436308. The cubic root of 1220011020 is about 1068.5329474063.

Adding to 1220011020 its reverse (201100221), we get a palindrome (1421111241).

It can be divided in two parts, 12200 and 11020, that added together give a triangular number (23220 = T215).

The spelling of 1220011020 in words is "one billion, two hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6777839 13555678 20333517 27111356 33889195 40667034 61000551 67778390 81334068 101667585 122001102 135556780 203335170 244002204 305002755 406670340 610005510 1220011020