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10132132401311 = 434391363339371
BaseRepresentation
bin1001001101110001001000…
…1001110001000010011111
31022212121210201122201010112
42103130102021301002133
52312001101343320221
633314345401000235
72064010454255144
oct223342211610237
938777721581115
1010132132401311
113257016661888
12117781278307b
135865c0a53b7b
1427057d8ba3cb
151288600be15b
hex9371227109f

10132132401311 has 16 divisors (see below), whose sum is σ = 10392406337280. Its totient is φ = 9872983088640.

The previous prime is 10132132401301. The next prime is 10132132401337. The reversal of 10132132401311 is 11310423123101.

It is a cyclic number.

It is not a de Polignac number, because 10132132401311 - 218 = 10132132139167 is a prime.

It is a super-2 number, since 2×101321324013112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132132401301) 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, 257330456 + ... + 257369826.

It is an arithmetic number, because the mean of its divisors is an integer number (649525396080).

Almost surely, 210132132401311 is an apocalyptic number.

10132132401311 is a deficient number, since it is larger than the sum of its proper divisors (260273935969).

10132132401311 is a wasteful number, since it uses less digits than its factorization.

10132132401311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53486.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10132132401311 its reverse (11310423123101), we get a palindrome (21442555524412).

The spelling of 10132132401311 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-two million, four hundred one thousand, three hundred eleven".

Divisors: 1 43 439 13633 18877 39371 586219 1692953 5984887 17283869 257350141 536744843 743206367 23080028249 235630986077 10132132401311