Search a number
-
+
103120023020031 = 3479101163978863
BaseRepresentation
bin10111011100100110000000…
…010101110110000111111111
3111112010011210201001221210000
4113130212000111312013333
5102004004301343120111
61003152403512045343
730502114205216463
oct2734460025660777
9445104721057700
10103120023020031
112a947a57730296
12b695427093853
13457023a860114
141b670701244a3
15bdc5c6014c56
hex5dc9805761ff

103120023020031 has 80 divisors (see below), whose sum is σ = 158504550082560. Its totient is φ = 66792061252800.

The previous prime is 103120023020029. The next prime is 103120023020039. The reversal of 103120023020031 is 130020320021301.

103120023020031 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 200 + 230 + 200 + 31 = 666.

It is not a de Polignac number, because 103120023020031 - 21 = 103120023020029 is a prime.

It is a super-2 number, since 2×1031200230200312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103120023019986 and 103120023020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103120023020039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104857306 + ... + 105836168.

It is an arithmetic number, because the mean of its divisors is an integer number (1981306876032).

Almost surely, 2103120023020031 is an apocalyptic number.

103120023020031 is a deficient number, since it is larger than the sum of its proper divisors (55384527062529).

103120023020031 is a wasteful number, since it uses less digits than its factorization.

103120023020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979218 (or 979209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103120023020031 its reverse (130020320021301), we get a palindrome (233140343041332).

The spelling of 103120023020031 in words is "one hundred three trillion, one hundred twenty billion, twenty-three million, twenty thousand, thirty-one".

Divisors: 1 3 9 27 79 81 101 163 237 303 489 711 909 1467 2133 2727 4401 6399 7979 8181 12877 13203 16463 23937 38631 49389 71811 115893 148167 215433 347679 444501 646299 978863 1043037 1300577 1333503 2936589 3901731 8809767 11705193 26429301 35115579 77330177 79287903 98865163 105346737 159554669 231990531 296595489 478664007 695971593 889786467 1435992021 2087914779 2669359401 4307976063 6263744337 7810347877 8008078203 12604818851 12923928189 16115021569 23431043631 37814456553 48345064707 70293130893 113443369659 145035194121 210879392679 340330108977 435105582363 632638178037 1020990326931 1273086703951 1305316747089 3819260111853 11457780335559 34373341006677 103120023020031