Search a number
-
+
20003131102120 = 2356136911180591
BaseRepresentation
bin1001000110001010101111…
…00001100001001110101000
32121211021120121011222021221
410203011113201201032220
510110212403030231440
6110313151144311424
74133115143655325
oct443052741411650
977737517158257
1020003131102120
11641230a032441
1222b08a8172574
13b21396bab59a
144d222a02db4c
1524a4d9bc4d4a
hex1231578613a8

20003131102120 has 64 divisors (see below), whose sum is σ = 45145743632640. Its totient is φ = 7976632723200.

The previous prime is 20003131102027. The next prime is 20003131102133. The reversal of 20003131102120 is 2120113130002.

It is a junction number, because it is equal to n+sod(n) for n = 20003131102094 and 20003131102103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16353025 + ... + 17533615.

It is an arithmetic number, because the mean of its divisors is an integer number (705402244260).

Almost surely, 220003131102120 is an apocalyptic number.

20003131102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20003131102120 is an abundant number, since it is smaller than the sum of its proper divisors (25142612530520).

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

20003131102120 is a wasteful number, since it uses less digits than its factorization.

20003131102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181906 (or 1181902 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20003131102120 its reverse (2120113130002), we get a palindrome (22123244232122).

The spelling of 20003131102120 in words is "twenty trillion, three billion, one hundred thirty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 613 691 1226 1382 2452 2764 3065 3455 4904 5528 6130 6910 12260 13820 24520 27640 423583 847166 1180591 1694332 2117915 2361182 3388664 4235830 4722364 5902955 8471660 9444728 11805910 16943320 23611820 47223640 723702283 815788381 1447404566 1631576762 2894809132 3263153524 3618511415 4078941905 5789618264 6526307048 7237022830 8157883810 14474045660 16315767620 28948091320 32631535240 500078277553 1000156555106 2000313110212 2500391387765 4000626220424 5000782775530 10001565551060 20003131102120