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1204000013020 = 2257151563101161
BaseRepresentation
bin10001100001010011111…
…111100011101011011100
311021002201211102211021211
4101201103333203223130
5124211243000404040
62321035430434204
7152662146152410
oct21412377435334
94232654384254
101204000013020
1142468268a082
12175415202964
13896c921230c
14423b9882d40
15214bae648ea
hex11853fe3adc

1204000013020 has 96 divisors (see below), whose sum is σ = 2913931754496. Its totient is φ = 409333824000.

The previous prime is 1204000012993. The next prime is 1204000013033. The reversal of 1204000013020 is 203100004021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11851240 + ... + 11952400.

It is an arithmetic number, because the mean of its divisors is an integer number (30353455776).

Almost surely, 21204000013020 is an apocalyptic number.

1204000013020 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 1204000013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456965877248).

1204000013020 is an abundant number, since it is smaller than the sum of its proper divisors (1709931741476).

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

1204000013020 is a wasteful number, since it uses less digits than its factorization.

1204000013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101891 (or 101889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1204000013020 its reverse (203100004021), we get a palindrome (1407100017041).

The spelling of 1204000013020 in words is "one trillion, two hundred four billion, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 563 604 755 1057 1126 1510 2114 2252 2815 3020 3941 4228 5285 5630 7882 10570 11260 15764 19705 21140 39410 78820 85013 101161 170026 202322 340052 404644 425065 505805 595091 708127 850130 1011610 1190182 1416254 1700260 2023220 2380364 2832508 2975455 3540635 5950910 7081270 11901820 14162540 15275311 30550622 56953643 61101244 76376555 106927177 113907286 152753110 213854354 227814572 284768215 305506220 398675501 427708708 534635885 569536430 797351002 1069271770 1139072860 1594702004 1993377505 2138543540 3986755010 7973510020 8600000093 17200000186 34400000372 43000000465 60200000651 86000000930 120400001302 172000001860 240800002604 301000003255 602000006510 1204000013020