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120010111002 = 23343594491951
BaseRepresentation
bin110111111000100101…
…0001111100000011010
3102110202201012022012000
41233301022033200122
53431240042023002
6131044253101430
711445651053355
oct1576112174032
9373681168160
10120010111002
1146994640721
121b313187876
13b417317602
145b4681929c
1531c5d0161c
hex1bf128f81a

120010111002 has 128 divisors (see below), whose sum is σ = 278277120000. Its totient is φ = 38305612800.

The previous prime is 120010110977. The next prime is 120010111003. The reversal of 120010111002 is 200111010021.

It is a happy number.

It is a super-2 number, since 2×1200101110022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120010111003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 61511127 + ... + 61513077.

It is an arithmetic number, because the mean of its divisors is an integer number (2174040000).

Almost surely, 2120010111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139138560000).

120010111002 is an abundant number, since it is smaller than the sum of its proper divisors (158267008998).

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

120010111002 is a wasteful number, since it uses less digits than its factorization.

120010111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120010111002 its reverse (200111010021), we get a palindrome (320121121023).

The spelling of 120010111002 in words is "one hundred twenty billion, ten million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 59 86 118 129 177 258 354 387 449 531 774 898 1062 1161 1347 1593 1951 2322 2537 2694 3186 3902 4041 5074 5853 7611 8082 11706 12123 15222 17559 19307 22833 24246 26491 35118 38614 45666 52677 52982 57921 68499 79473 83893 105354 115109 115842 136998 158946 167786 173763 230218 238419 251679 345327 347526 476838 503358 521289 690654 715257 755037 875999 1035981 1042578 1139113 1430514 1510074 1751998 2071962 2265111 2278226 2627997 3107943 3417339 4530222 4949687 5255994 6215886 6834678 7883991 9899374 10252017 14849061 15767982 20504034 23651973 29698122 30756051 37667957 44547183 47303946 51683941 61512102 75335914 89094366 103367882 113003871 133641549 155051823 226007742 267283098 310103646 339011613 465155469 678023226 930310938 1017034839 1395466407 2034069678 2222409463 2790932814 4444818926 6667228389 13334456778 20001685167 40003370334 60005055501 120010111002