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1007070100401 = 33113617956437
BaseRepresentation
bin11101010011110100000…
…11100011101110110001
310120021102110001201221110
432221322003203232301
5112444434421203101
62050350331143533
7132521064420441
oct16517203435661
93507373051843
101007070100401
113591068a9a82
121432158a4ba9
1373c73c76bc1
1436a57410121
151b2e22cacd6
hexea7a0e3bb1

1007070100401 has 16 divisors (see below), whose sum is σ = 1387093575168. Its totient is φ = 649245177600.

The previous prime is 1007070100301. The next prime is 1007070100409. The reversal of 1007070100401 is 1040010707001.

It is not a de Polignac number, because 1007070100401 - 225 = 1007036545969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1007070100409) 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, 3851646 + ... + 4104791.

It is an arithmetic number, because the mean of its divisors is an integer number (86693348448).

Almost surely, 21007070100401 is an apocalyptic number.

It is an amenable number.

1007070100401 is a deficient number, since it is larger than the sum of its proper divisors (380023474767).

1007070100401 is a wasteful number, since it uses less digits than its factorization.

1007070100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957832.

The product of its (nonzero) digits is 196, while the sum is 21.

Adding to 1007070100401 its reverse (1040010707001), we get a palindrome (2047080807402).

The spelling of 1007070100401 in words is "one trillion, seven billion, seventy million, one hundred thousand, four hundred one".

Divisors: 1 3 31 93 1361 4083 42191 126573 7956437 23869311 246649547 739948641 10828710757 32486132271 335690033467 1007070100401