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1342001131020 = 22325111747387967
BaseRepresentation
bin10011100001110101100…
…000000010111000001100
311202021221100212222102100
4103201311200002320030
5133441404242143040
62504301245355100
7165646016254404
oct23416540027014
94667840788370
101342001131020
1147815971a620
12198109568a90
139971c92baa4
1448d4b827804
1524d96444b30
hex13875802e0c

1342001131020 has 144 divisors (see below), whose sum is σ = 4443357155328. Its totient is φ = 325146545280.

The previous prime is 1342001130997. The next prime is 1342001131057. The reversal of 1342001131020 is 201311002431.

1342001131020 is a `hidden beast` number, since 1 + 342 + 0 + 0 + 11 + 310 + 2 + 0 = 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 = 1342001130984 and 1342001131002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3265077 + ... + 3653043.

It is an arithmetic number, because the mean of its divisors is an integer number (30856646912).

Almost surely, 21342001131020 is an apocalyptic number.

1342001131020 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 1342001131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221678577664).

1342001131020 is an abundant number, since it is smaller than the sum of its proper divisors (3101356024308).

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

1342001131020 is a wasteful number, since it uses less digits than its factorization.

1342001131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389740 (or 389735 counting only the distinct ones).

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

Adding to 1342001131020 its reverse (201311002431), we get a palindrome (1543312133451).

The spelling of 1342001131020 in words is "one trillion, three hundred forty-two billion, one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1747 1980 3494 5241 6988 8735 10482 15723 17470 19217 20964 26205 31446 34940 38434 52410 57651 62892 76868 78615 96085 104820 115302 157230 172953 192170 230604 288255 314460 345906 384340 387967 576510 691812 775934 864765 1153020 1163901 1551868 1729530 1939835 2327802 3459060 3491703 3879670 4267637 4655604 5819505 6983406 7759340 8535274 11639010 12802911 13966812 17070548 17458515 21338185 23278020 25605822 34917030 38408733 42676370 51211644 64014555 69834060 76817466 85352740 128029110 153634932 192043665 256058220 384087330 677778349 768174660 1355556698 2033335047 2711113396 3388891745 4066670094 6100005141 6777783490 7455561839 8133340188 10166675235 12200010282 13555566980 14911123678 20333350470 22366685517 24400020564 29822247356 30500025705 37277809195 40666700940 44733371034 61000051410 67100056551 74555618390 89466742068 111833427585 122000102820 134200113102 149111236780 223666855170 268400226204 335500282755 447333710340 671000565510 1342001131020