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1341122140100 = 225241221137811
BaseRepresentation
bin10011100001000001000…
…110111101011111000100
311202012200002220121120002
4103201001012331133010
5133433104231440400
62504034125500432
7165615154046561
oct23410106753704
94665602817502
101341122140100
11477848537746
12197b03111718
139960c7acc12
1448ca6bb9868
1524d441b7ed5
hex138411bd7c4

1341122140100 has 108 divisors (see below), whose sum is σ = 2997164096304. Its totient is φ = 520870560000.

The previous prime is 1341122140091. The next prime is 1341122140103. The reversal of 1341122140100 is 10412211431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1341122140103) 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 35 ways as a sum of consecutive naturals, for example, 35450195 + ... + 35488005.

Almost surely, 21341122140100 is an apocalyptic number.

1341122140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341122140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498582048152).

1341122140100 is an abundant number, since it is smaller than the sum of its proper divisors (1656041956204).

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

1341122140100 is a wasteful number, since it uses less digits than its factorization.

1341122140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38118 (or 38070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1341122140100 its reverse (10412211431), we get a palindrome (1351534351531).

The spelling of 1341122140100 in words is "one trillion, three hundred forty-one billion, one hundred twenty-two million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 211 410 422 820 844 1025 1055 1681 2050 2110 3362 4100 4220 5275 6724 8405 8651 10550 16810 17302 21100 33620 34604 37811 42025 43255 75622 84050 86510 151244 168100 173020 189055 216275 354691 378110 432550 709382 756220 865100 945275 1418764 1550251 1773455 1890550 3100502 3546910 3781100 6201004 7093820 7751255 7978121 8867275 15502510 15956242 17734550 31005020 31912484 35469100 38756275 39890605 63560291 77512550 79781210 127120582 155025100 159562420 199453025 254241164 317801455 327102961 398906050 635602910 654205922 797812100 1271205820 1308411844 1589007275 1635514805 3178014550 3271029610 6356029100 6542059220 8177574025 13411221401 16355148050 26822442802 32710296100 53644885604 67056107005 134112214010 268224428020 335280535025 670561070050 1341122140100