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2032130301200 = 245210357186381
BaseRepresentation
bin11101100100100100011…
…001111001110100010000
321012021021122200021012122
4131210210121321310100
5231243300324114300
64153314152513412
7266550040362416
oct35444431716420
97167248607178
102032130301200
1171390463971a
12289a103ab868
1311982409640c
14704d9bd12b6
1537cd8b56c85
hex1d924679d10

2032130301200 has 120 divisors (see below), whose sum is σ = 4938283411776. Its totient is φ = 803541312000.

The previous prime is 2032130301161. The next prime is 2032130301247. The reversal of 2032130301200 is 21030312302.

It is a super-2 number, since 2×20321303012002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23482010 + ... + 23568390.

Almost surely, 22032130301200 is an apocalyptic number.

2032130301200 is a gapful number since it is divisible by the number (20) 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 2032130301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469141705888).

2032130301200 is an abundant number, since it is smaller than the sum of its proper divisors (2906153110576).

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

2032130301200 is a wasteful number, since it uses less digits than its factorization.

2032130301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87073 (or 87062 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2032130301200 its reverse (21030312302), we get a palindrome (2053160613502).

The spelling of 2032130301200 in words is "two trillion, thirty-two billion, one hundred thirty million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 200 206 400 412 515 571 824 1030 1142 1648 2060 2284 2575 2855 4120 4568 5150 5710 8240 9136 10300 11420 14275 20600 22840 28550 41200 45680 57100 58813 86381 114200 117626 172762 228400 235252 294065 345524 431905 470504 588130 691048 863810 941008 1176260 1382096 1470325 1727620 2159525 2352520 2940650 3455240 4319050 4705040 5881300 6910480 8638100 8897243 11762600 17276200 17794486 23525200 34552400 35588972 44486215 49323551 71177944 88972430 98647102 142355888 177944860 197294204 222431075 246617755 355889720 394588408 444862150 493235510 711779440 789176816 889724300 986471020 1233088775 1779448600 1972942040 2466177550 3558897200 3945884080 4932355100 5080325753 9864710200 10160651506 19729420400 20321303012 25401628765 40642606024 50803257530 81285212048 101606515060 127008143825 203213030120 254016287650 406426060240 508032575300 1016065150600 2032130301200