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10141401441101 = 722931416192051
BaseRepresentation
bin1001001110010011101010…
…1000010110001101001101
31022220111201200222201100112
42103210322220112031031
52312124042232103401
633322521232405405
72064456244640600
oct223447250261515
938814650881315
1010141401441101
11325aa42800647
12117957a9a6865
1358743a181bb8
14270bbc926337
15128c03be13bb
hex9393aa1634d

10141401441101 has 96 divisors (see below), whose sum is σ = 13116570485760. Its totient is φ = 7794057600000.

The previous prime is 10141401441089. The next prime is 10141401441131. The reversal of 10141401441101 is 10114410414101.

It is not a de Polignac number, because 10141401441101 - 226 = 10141334332237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141401441131) 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, 110125526 + ... + 110217576.

It is an arithmetic number, because the mean of its divisors is an integer number (136630942560).

Almost surely, 210141401441101 is an apocalyptic number.

It is an amenable number.

10141401441101 is a deficient number, since it is larger than the sum of its proper divisors (2975169044659).

10141401441101 is a wasteful number, since it uses less digits than its factorization.

10141401441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92227 (or 92220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 10141401441101 its reverse (10114410414101), we get a palindrome (20255811855202).

The spelling of 10141401441101 in words is "ten trillion, one hundred forty-one billion, four hundred one million, four hundred forty-one thousand, one hundred one".

Divisors: 1 7 29 31 41 49 61 203 217 287 427 899 1189 1271 1421 1519 1769 1891 2009 2501 2989 6293 8323 8897 12383 13237 17507 36859 44051 54839 58261 62279 72529 77531 86681 92051 92659 122549 258013 383873 507703 542717 644357 1806091 2248399 2669479 2687111 2853581 3553921 3774091 3799019 4510499 5615111 15738793 18686353 19975067 26418637 39305777 82753849 109448639 110171551 116996821 130804471 139825469 162838219 174068441 184930459 230219551 275140439 579276943 766140473 818977747 1139867533 1218479087 1611536857 3392907809 4054938601 5047984789 5362983311 5732844229 6676366979 7136806081 7979072731 8529353609 11280757999 23750354663 35335893523 46734568853 49957642567 166252482641 206967376349 247351254661 327141981971 349703497969 1448771634443 10141401441101