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1001110020001 = 713241127331491
BaseRepresentation
bin11101001000101101100…
…11101001111110100001
310112201001002010021122221
432210112303221332201
5112400233131120001
62043523102031041
7132220303523650
oct16442663517641
93481032107587
101001110020001
113566285643a3
12142031878481
1373534247200
143664da33197
151b093e2b1a1
hexe916ce9fa1

1001110020001 has 96 divisors (see below), whose sum is σ = 1285593071616. Its totient is φ = 762810048000.

The previous prime is 1001110019989. The next prime is 1001110020047. The reversal of 1001110020001 is 1000200111001.

It is not a de Polignac number, because 1001110020001 - 29 = 1001110019489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1001110020061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2038920366 + ... + 2038920856.

It is an arithmetic number, because the mean of its divisors is an integer number (13391594496).

Almost surely, 21001110020001 is an apocalyptic number.

It is an amenable number.

1001110020001 is a deficient number, since it is larger than the sum of its proper divisors (284483051615).

1001110020001 is a wasteful number, since it uses less digits than its factorization.

1001110020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001110020001 its reverse (1000200111001), we get a palindrome (2001310131002).

The spelling of 1001110020001 in words is "one trillion, one billion, one hundred ten million, twenty thousand, one".

Divisors: 1 7 13 41 91 127 169 287 331 491 533 889 1183 1651 2317 3437 3731 4303 5207 6383 6929 11557 13571 20131 21463 30121 36449 42037 44681 48503 55939 62357 67691 82979 94997 140917 150241 162521 176423 261703 294259 391573 436499 473837 546481 580853 810641 879983 1137647 1234961 1723517 1831921 2112773 2293499 2556637 3402139 3825367 5674487 6159881 6663361 7104253 10538333 12064619 14789411 16054493 17896459 20640167 22405721 23814973 27466049 33236281 46643527 49729771 73768331 86623693 144481169 156840047 192262343 232653967 268322171 291274373 432071653 606365851 846246847 1126108009 1878255197 2038920611 3024501571 3488188223 5923727929 7882756063 11001209011 24417317561 77008463077 143015717143 1001110020001