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11381485148341 = 7211177091751923
BaseRepresentation
bin1010010110011111010101…
…1000010001100010110101
31111022001121021021010120121
42211213311120101202311
52442433240144221331
640112325422131541
72253166545351100
oct245476530214265
944261537233517
1011381485148341
113698951719210
121339984420bb1
13647366c79a69
142b4c1c7ab737
1514b0d28eac11
hexa59f56118b5

11381485148341 has 48 divisors (see below), whose sum is σ = 15314478684480. Its totient is φ = 8335224414720.

The previous prime is 11381485148339. The next prime is 11381485148353. The reversal of 11381485148341 is 14384158418311.

11381485148341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11381485148341 - 21 = 11381485148339 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381485148941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5620606 + ... + 7372528.

It is an arithmetic number, because the mean of its divisors is an integer number (319051639260).

Almost surely, 211381485148341 is an apocalyptic number.

11381485148341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11381485148341 is a deficient number, since it is larger than the sum of its proper divisors (3932993536139).

11381485148341 is a wasteful number, since it uses less digits than its factorization.

11381485148341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752674 (or 1752667 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 52.

The spelling of 11381485148341 in words is "eleven trillion, three hundred eighty-one billion, four hundred eighty-five million, one hundred forty-eight thousand, three hundred forty-one".

Divisors: 1 7 11 17 49 77 119 187 539 709 833 1309 4963 7799 9163 12053 34741 54593 84371 132583 382151 590597 928081 1751923 6496567 12263461 19271153 29782691 85844227 134898071 208478837 327609601 944286497 1242113407 1459351859 2293267207 8694793849 13663247477 16052870449 21115927919 60863556943 95642732339 147811495433 232275207109 669499126373 1034680468031 1625926449763 11381485148341