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320121120020 = 225134747835477
BaseRepresentation
bin1001010100010001011…
…01001010010100010100
31010121021210100211102112
410222020231022110110
520221102001320040
6403021150330152
732061620424002
oct4521055122424
91117253324375
10320121120020
11113843032609
125205bab9958
13242586331a0
14116cb555a72
1584d8da2365
hex4a88b4a514

320121120020 has 96 divisors (see below), whose sum is σ = 739659368448. Its totient is φ = 115638400512.

The previous prime is 320121119977. The next prime is 320121120061. The reversal of 320121120020 is 20021121023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 320121119977 and 320121120004.

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, 58445522 + ... + 58450998.

It is an arithmetic number, because the mean of its divisors is an integer number (7704785088).

Almost surely, 2320121120020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320121120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369829684224).

320121120020 is an abundant number, since it is smaller than the sum of its proper divisors (419538248428).

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

320121120020 is a wasteful number, since it uses less digits than its factorization.

320121120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 320121120020 its reverse (20021121023), we get a palindrome (340142241043).

The spelling of 320121120020 in words is "three hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 4783 5477 6110 9566 10954 12220 19132 21908 23915 27385 47830 54770 62179 71201 95660 109540 124358 142402 224801 248716 257419 284804 310895 356005 449602 514838 621790 712010 899204 1029676 1124005 1243580 1287095 1424020 2248010 2574190 2922413 3346447 4496020 5148380 5844826 6692894 11689652 13385788 14612065 16732235 26196491 29224130 33464470 52392982 58448260 66928940 104785964 130982455 261964910 340554383 523929820 681108766 1231235077 1362217532 1702771915 2462470154 3405543830 4924940308 6156175385 6811087660 12312350770 16006056001 24624701540 32012112002 64024224004 80030280005 160060560010 320121120020