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1001302103120 = 245111137843299
BaseRepresentation
bin11101001001000100100…
…00011001010001010000
310112201112110120010011112
432210202100121101100
5112401131314244440
62043554123032452
7132225125306024
oct16444220312120
93481473503145
101001302103120
11356716a2a280
1214208606b728
1373564c8bb67
143666b354384
151b0a5c1e965
hexe922419450

1001302103120 has 40 divisors (see below), whose sum is σ = 2539666245600. Its totient is φ = 364109855360.

The previous prime is 1001302103117. The next prime is 1001302103177. The reversal of 1001302103120 is 213012031001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10013021031202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001302103095 and 1001302103104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568920770 + ... + 568922529.

It is an arithmetic number, because the mean of its divisors is an integer number (63491656140).

Almost surely, 21001302103120 is an apocalyptic number.

1001302103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001302103120 is an abundant number, since it is smaller than the sum of its proper divisors (1538364142480).

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

1001302103120 is a wasteful number, since it uses less digits than its factorization.

1001302103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137843323 (or 1137843317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1001302103120 its reverse (213012031001), we get a palindrome (1214314134121).

The spelling of 1001302103120 in words is "one trillion, one billion, three hundred two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1137843299 2275686598 4551373196 5689216495 9102746392 11378432990 12516276289 18205492784 22756865980 25032552578 45513731960 50065105156 62581381445 91027463920 100130210312 125162762890 200260420624 250325525780 500651051560 1001302103120