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101121011004 = 2231357710131109
BaseRepresentation
bin101111000101101001…
…0000010110100111100
3100200000022000121020210
41132023102002310330
53124043434323004
6114242050112420
710206605261106
oct1361322026474
9320008017223
10101121011004
11399811a1282
121772127b710
1396c6b38a70
144c73cac576
15296c871089
hex178b482d3c

101121011004 has 96 divisors (see below), whose sum is σ = 255020351040. Its totient is φ = 31001591808.

The previous prime is 101121010997. The next prime is 101121011009. The reversal of 101121011004 is 400110121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121011009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91181602 + ... + 91182710.

It is an arithmetic number, because the mean of its divisors is an integer number (2656461990).

Almost surely, 2101121011004 is an apocalyptic number.

It is an amenable number.

101121011004 is an abundant number, since it is smaller than the sum of its proper divisors (153899340036).

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

101121011004 is a wasteful number, since it uses less digits than its factorization.

101121011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121011004 its reverse (400110121101), we get a palindrome (501231132105).

The spelling of 101121011004 in words is "one hundred one billion, one hundred twenty-one million, eleven thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 577 1013 1109 1154 1731 2026 2218 2308 3039 3327 3462 4052 4436 6078 6654 6924 7501 12156 13169 13308 14417 15002 22503 26338 28834 30004 39507 43251 45006 52676 57668 79014 86502 90012 158028 173004 584501 639893 1123417 1169002 1279786 1753503 1919679 2246834 2338004 2559572 3370251 3507006 3839358 4493668 6740502 7014012 7598513 7678716 8318609 13481004 14604421 15197026 16637218 22795539 24955827 29208842 30394052 33274436 43813263 45591078 49911654 58417684 87626526 91182156 99823308 175253052 648211609 1296423218 1944634827 2592846436 3889269654 7778539308 8426750917 16853501834 25280252751 33707003668 50560505502 101121011004