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1345253220520 = 23511191051153107
BaseRepresentation
bin10011100100110111010…
…101110010000010101000
311202121100000021020112121
4103210313111302002220
5134020034311024040
62510000101121024
7166122425464036
oct23446725620250
94677300236477
101345253220520
114795784105a0
121988766b9174
1399b1a607ac1
14491796d1556
1524ed6bd1c4a
hex139375720a8

1345253220520 has 128 divisors (see below), whose sum is σ = 3479103705600. Its totient is φ = 462992544000.

The previous prime is 1345253220491. The next prime is 1345253220527. The reversal of 1345253220520 is 250223525431.

It is not an unprimeable number, because it can be changed into a prime (1345253220527) 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 31 ways as a sum of consecutive naturals, for example, 8709807 + ... + 8862913.

It is an arithmetic number, because the mean of its divisors is an integer number (27180497700).

Almost surely, 21345253220520 is an apocalyptic number.

1345253220520 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 1345253220520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739551852800).

1345253220520 is an abundant number, since it is smaller than the sum of its proper divisors (2133850485080).

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

1345253220520 is a wasteful number, since it uses less digits than its factorization.

1345253220520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154199 (or 154195 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 1345253220520 its reverse (250223525431), we get a palindrome (1595476745951).

The spelling of 1345253220520 in words is "one trillion, three hundred forty-five billion, two hundred fifty-three million, two hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1051 1672 2090 2102 4180 4204 5255 8360 8408 10510 11561 19969 21020 23122 39938 42040 46244 57805 79876 92488 99845 115610 153107 159752 199690 219659 231220 306214 399380 439318 462440 612428 765535 798760 878636 1098295 1224856 1531070 1684177 1757272 2196590 2909033 3062140 3368354 4393180 5818066 6124280 6736708 8420885 8786360 11636132 13473416 14545165 16841770 23272264 29090330 31999363 33683540 58180660 63998726 67367080 116361320 127997452 159996815 160915457 255994904 319993630 321830914 639987260 643661828 804577285 1279974520 1287323656 1609154570 1770070027 3057393683 3218309140 3540140054 6114787366 6436618280 7080280108 8850350135 12229574732 14160560216 15286968415 17700700270 24459149464 30573936830 33631330513 35401400540 61147873660 67262661026 70802801080 122295747320 134525322052 168156652565 269050644104 336313305130 672626610260 1345253220520