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1301332128 = 25341330623
BaseRepresentation
bin100110110010000…
…1100000010100000
310100200200112002020
41031210030002200
510131120112003
6333044021440
744151066135
oct11544140240
93320615066
101301332128
116086280a8
12303991880
131797b3415
14c4b8a58c
15793a4d53
hex4d90c0a0

1301332128 has 48 divisors (see below), whose sum is σ = 3499324416. Its totient is φ = 423196160.

The previous prime is 1301332121. The next prime is 1301332139. The reversal of 1301332128 is 8212331031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1301332098 and 1301332107.

It is not an unprimeable number, because it can be changed into a prime (1301332121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161376 + ... + 169247.

It is an arithmetic number, because the mean of its divisors is an integer number (72902592).

Almost surely, 21301332128 is an apocalyptic number.

It is an amenable number.

1301332128 is an abundant number, since it is smaller than the sum of its proper divisors (2197992288).

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

1301332128 is a wasteful number, since it uses less digits than its factorization.

1301332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330677 (or 330669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1301332128 is about 36073.9813161786. The cubic root of 1301332128 is about 1091.7655442660.

Adding to 1301332128 its reverse (8212331031), we get a palindrome (9513663159).

The spelling of 1301332128 in words is "one billion, three hundred one million, three hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 330623 661246 991869 1322492 1983738 2644984 3967476 5289968 7934952 10579936 13555543 15869904 27111086 31739808 40666629 54222172 81333258 108444344 162666516 216888688 325333032 433777376 650666064 1301332128