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103140301122 = 232374333710687
BaseRepresentation
bin110000000001110100…
…1000001100101000010
3100212020000200011112200
41200003221001211002
53142212404113442
6115214302334030
710310625044235
oct1400351014502
9325200604480
10103140301122
113a818013891
1217ba558a316
1399592a83a1
144dc614941c
152a39c9434c
hex1803a41942

103140301122 has 96 divisors (see below), whose sum is σ = 235566769152. Its totient is φ = 32572979712.

The previous prime is 103140301111. The next prime is 103140301127. The reversal of 103140301122 is 221103041301.

103140301122 is a `hidden beast` number, since 103 + 140 + 301 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103140301095 and 103140301104.

It is not an unprimeable number, because it can be changed into a prime (103140301127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9645663 + ... + 9656349.

It is an arithmetic number, because the mean of its divisors is an integer number (2453820512).

Almost surely, 2103140301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103140301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117783384576).

103140301122 is an abundant number, since it is smaller than the sum of its proper divisors (132426468030).

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

103140301122 is a wasteful number, since it uses less digits than its factorization.

103140301122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103140301122 its reverse (221103041301), we get a palindrome (324243342423).

The spelling of 103140301122 in words is "one hundred three billion, one hundred forty million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 337 387 666 674 774 1011 1591 2022 3033 3182 4773 6066 9546 10687 12469 14319 14491 21374 24938 28638 28982 32061 37407 43473 64122 74814 86946 96183 112221 130419 192366 224442 260838 395419 459541 536167 790838 919082 1072334 1186257 1378623 1608501 2372514 2757246 3217002 3558771 3601519 4135869 4825503 7117542 7203038 8271738 9651006 10804557 17003017 21609114 32413671 34006034 51009051 64827342 102018102 133256203 153027153 154865317 266512406 306054306 309730634 399768609 464595951 799537218 929191902 1199305827 1393787853 2398611654 2787575706 5730016729 11460033458 17190050187 34380100374 51570150561 103140301122