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101001441104 = 2447538872857
BaseRepresentation
bin101111000010000100…
…1111010111101010000
3100122200222000211011222
41132010021322331100
53123322332103404
6114222135224212
710203624040604
oct1360411727520
9318628024158
10101001441104
113991a753683
12176a9218068
1396a8132845
144c62065504
152962102dbe
hex178427af50

101001441104 has 80 divisors (see below), whose sum is σ = 203925662208. Its totient is φ = 48422040576.

The previous prime is 101001441083. The next prime is 101001441113. The reversal of 101001441104 is 401144100101.

It is a super-2 number, since 2×1010014411042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35350844 + ... + 35353700.

Almost surely, 2101001441104 is an apocalyptic number.

It is an amenable number.

101001441104 is an abundant number, since it is smaller than the sum of its proper divisors (102924221104).

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

101001441104 is a wasteful number, since it uses less digits than its factorization.

101001441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101001441104 its reverse (401144100101), we get a palindrome (502145541205).

The spelling of 101001441104 in words is "one hundred one billion, one million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 47 53 94 106 188 212 376 424 752 848 887 1774 2491 2857 3548 4982 5714 7096 9964 11428 14192 19928 22856 39856 41689 45712 47011 83378 94022 134279 151421 166756 188044 268558 302842 333512 376088 537116 605684 667024 752176 1074232 1211368 2148464 2209517 2422736 2534159 4419034 5068318 7116787 8838068 10136636 14233574 17676136 20273272 28467148 35352272 40546544 56934296 113868592 119105473 134310427 238210946 268620854 476421892 537241708 952843784 1074483416 1905687568 2148966832 6312590069 12625180138 25250360276 50500720552 101001441104