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1001300123124 = 223273973413187
BaseRepresentation
bin11101001001000100010…
…00110101110111110100
310112201112022211112010100
432210202020311313310
5112401130312414444
62043554012354100
7132225102421320
oct16444210656764
93481468745110
101001300123124
113567158a7714
12142085475930
1373564747872
143666ad9a980
151b0a597ce69
hexe922235df4

1001300123124 has 36 divisors (see below), whose sum is σ = 2892644800864. Its totient is φ = 286085749392.

The previous prime is 1001300123113. The next prime is 1001300123147. The reversal of 1001300123124 is 4213210031001.

1001300123124 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001300123097 and 1001300123106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1986706342 + ... + 1986706845.

Almost surely, 21001300123124 is an apocalyptic number.

1001300123124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001300123124 is an abundant number, since it is smaller than the sum of its proper divisors (1891344677740).

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

1001300123124 is a wasteful number, since it uses less digits than its factorization.

1001300123124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973413204 (or 3973413199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001300123124 its reverse (4213210031001), we get a palindrome (5214510154125).

The spelling of 1001300123124 in words is "one trillion, one billion, three hundred million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3973413187 7946826374 11920239561 15893652748 23840479122 27813892309 35760718683 47680958244 55627784618 71521437366 83441676927 111255569236 143042874732 166883353854 250325030781 333766707708 500650061562 1001300123124