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1020401220 = 2235107158941
BaseRepresentation
bin111100110100100…
…001011001000100
32122010001202022210
4330310201121010
54042210314340
6245130423420
734200160446
oct7464413104
92563052283
101020401220
11483a985a3
12245891b70
13133531107
149973c496
155e8b1180
hex3cd21644

1020401220 has 48 divisors (see below), whose sum is σ = 2883843648. Its totient is φ = 269562240.

The previous prime is 1020401219. The next prime is 1020401257. The reversal of 1020401220 is 221040201.

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 = 1020401196 and 1020401205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73051 + ... + 85890.

It is an arithmetic number, because the mean of its divisors is an integer number (60080076).

Almost surely, 21020401220 is an apocalyptic number.

1020401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020401220 is an abundant number, since it is smaller than the sum of its proper divisors (1863442428).

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

1020401220 is a wasteful number, since it uses less digits than its factorization.

1020401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159060 (or 159058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020401220 is about 31943.7195705196. The cubic root of 1020401220 is about 1006.7546782594.

Adding to 1020401220 its reverse (221040201), we get a palindrome (1241441421).

The spelling of 1020401220 in words is "one billion, twenty million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 158941 317882 476823 635764 794705 953646 1589410 1907292 2384115 3178820 4768230 9536460 17006687 34013374 51020061 68026748 85033435 102040122 170066870 204080244 255100305 340133740 510200610 1020401220