Search a number
-
+
1022032004020 = 225436959170773
BaseRepresentation
bin11101101111101011101…
…10101100001110110100
310121201001011112012012221
432313311312230032310
5113221110143112040
62101303124452124
7133560622460626
oct16676566541664
93551034465187
101022032004020
11364494470685
121460b054a044
13754b9944a01
1437676558c16
151b8baab774a
hexedf5dac3b4

1022032004020 has 48 divisors (see below), whose sum is σ = 2196508849920. Its totient is φ = 399245809536.

The previous prime is 1022032003997. The next prime is 1022032004027. The reversal of 1022032004020 is 204002302201.

It is a super-3 number, since 3×10220320040203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1022032003985 and 1022032004003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022032004027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5899354 + ... + 6070126.

It is an arithmetic number, because the mean of its divisors is an integer number (45760601040).

Almost surely, 21022032004020 is an apocalyptic number.

1022032004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022032004020 is an abundant number, since it is smaller than the sum of its proper divisors (1174476845900).

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

1022032004020 is a wasteful number, since it uses less digits than its factorization.

1022032004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177784 (or 177782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1022032004020 its reverse (204002302201), we get a palindrome (1226034306221).

The spelling of 1022032004020 in words is "one trillion, twenty-two billion, thirty-two million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 6959 13918 27836 34795 69590 139180 170773 299237 341546 598474 683092 853865 1196948 1496185 1707730 2992370 3415460 5984740 7343239 14686478 29372956 36716195 73432390 146864780 1188409307 2376818614 4753637228 5942046535 11884093070 23768186140 51101600201 102203200402 204406400804 255508001005 511016002010 1022032004020