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1001010111988 = 2217197421177493
BaseRepresentation
bin11101001000100001101…
…10100010010111110100
310112200210010010102122011
432210100312202113310
5112400032042040423
62043505132414004
7132214651363645
oct16442066422764
93480703112564
101001010111988
11356587125a97
12142004317304
1373519636543
14366406676cc
151b08a293b0d
hexe910da25f4

1001010111988 has 48 divisors (see below), whose sum is σ = 1868666771664. Its totient is φ = 467556526080.

The previous prime is 1001010111977. The next prime is 1001010112007. The reversal of 1001010111988 is 8891110101001.

It can be written as a sum of positive squares in 8 ways, for example, as 51921091044 + 949089020944 = 227862^2 + 974212^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550970 + ... + 5728462.

It is an arithmetic number, because the mean of its divisors is an integer number (38930557743).

Almost surely, 21001010111988 is an apocalyptic number.

It is an amenable number.

1001010111988 is a deficient number, since it is larger than the sum of its proper divisors (867656659676).

1001010111988 is a wasteful number, since it uses less digits than its factorization.

1001010111988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178132 (or 178130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 31.

Adding to 1001010111988 its reverse (8891110101001), we get a palindrome (9892120212989).

The spelling of 1001010111988 in words is "one trillion, one billion, ten million, one hundred eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 4 17 34 68 197 394 421 788 842 1684 3349 6698 7157 13396 14314 28628 82937 165874 177493 331748 354986 709972 1409929 2819858 3017381 5639716 6034762 12069524 34966121 69932242 74724553 139864484 149449106 298898212 594424057 1188848114 1270317401 2377696228 2540634802 5081269604 14720736941 29441473882 58882947764 250252527997 500505055994 1001010111988