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435413121 = 311132101773
BaseRepresentation
bin11001111100111…
…110000010000001
31010100022021111220
4121330332002001
51342431204441
6111112225253
713534644003
oct3174760201
91110267456
10435413121
11203863360
1210199b229
136c290400
1441b82373
152835b466
hex19f3e081

435413121 has 48 divisors (see below), whose sum is σ = 693479232. Its totient is φ = 240864000.

The previous prime is 435413119. The next prime is 435413137. The reversal of 435413121 is 121314534.

It is a happy number.

It is not a de Polignac number, because 435413121 - 21 = 435413119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 435413091 and 435413100.

It is not an unprimeable number, because it can be changed into a prime (435418121) 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, 562891 + ... + 563663.

It is an arithmetic number, because the mean of its divisors is an integer number (14447484).

Almost surely, 2435413121 is an apocalyptic number.

435413121 is the 11154-th nonagonal number.

It is an amenable number.

435413121 is a deficient number, since it is larger than the sum of its proper divisors (258066111).

435413121 is a wasteful number, since it uses less digits than its factorization.

435413121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 435413121 is about 20866.5550822363. Note that the first 3 decimals coincide. The cubic root of 435413121 is about 757.9382722294.

Adding to 435413121 its reverse (121314534), we get a palindrome (556727655).

It can be divided in two parts, 435413 and 121, that added together give a palindrome (435534).

The spelling of 435413121 in words is "four hundred thirty-five million, four hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 11 13 33 39 101 143 169 303 429 507 773 1111 1313 1859 2319 3333 3939 5577 8503 10049 14443 17069 25509 30147 43329 51207 78073 110539 130637 187759 234219 331617 391911 563277 858803 1014949 1437007 2576409 3044847 4311021 11164439 13194337 33493317 39583011 145137707 435413121