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131303122020272 = 241729151110237969
BaseRepresentation
bin11101110110101101100011…
…111100100010011110110000
3122012220110022022222210200102
4131312231203330202132300
5114202232243214122042
61143131453241211532
736441223524133106
oct3566554374423660
9565813268883612
10131303122020272
1138923383351464
1212887511a90ba8
135835aa64174a7
14245d168233c76
15102a767616b32
hex776b63f227b0

131303122020272 has 80 divisors (see below), whose sum is σ = 280498309905600. Its totient is φ = 59263931596800.

The previous prime is 131303122020271. The next prime is 131303122020313. The reversal of 131303122020272 is 272020221303131.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (131303122020271) 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, 53927897 + ... + 56310072.

It is an arithmetic number, because the mean of its divisors is an integer number (3506228873820).

Almost surely, 2131303122020272 is an apocalyptic number.

It is an amenable number.

131303122020272 is an abundant number, since it is smaller than the sum of its proper divisors (149195187885328).

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

131303122020272 is a wasteful number, since it uses less digits than its factorization.

131303122020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110238174 (or 110238168 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 131303122020272 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 151 232 272 302 464 493 604 986 1208 1972 2416 2567 3944 4379 5134 7888 8758 10268 17516 20536 35032 41072 70064 74443 148886 297772 595544 1191088 110237969 220475938 440951876 881903752 1763807504 1874045473 3196901101 3748090946 6393802202 7496181892 12787604404 14992363784 16645933319 25575208808 29984727568 33291866638 51150417616 54347318717 66583733276 108694637434 133167466552 217389274868 266334933104 282980866423 434778549736 482732066251 565961732846 869557099472 965464132502 1131923465692 1930928265004 2263846931384 3861856530008 4527693862768 7723713060016 8206445126267 16412890252534 32825780505068 65651561010136 131303122020272