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2420130031000 = 235311373358937
BaseRepresentation
bin100011001101111010111…
…111011010010110011000
322120100210000121202012121
4203031322333122112120
5304122411241443000
65051443053351024
7336564035563063
oct43157277322630
98510700552177
102420130031000
1185340a345440
12331054798474
131472a94a6c56
14851c63058da
1542e46c79b1a
hex2337afda598

2420130031000 has 128 divisors (see below), whose sum is σ = 6179691735360. Its totient is φ = 879796608000.

The previous prime is 2420130030961. The next prime is 2420130031013. The reversal of 2420130031000 is 1300310242.

It is a happy number.

It is a super-2 number, since 2×24201300310002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41033532 + ... + 41092468.

Almost surely, 22420130031000 is an apocalyptic number.

2420130031000 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 2420130031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089845867680).

2420130031000 is an abundant number, since it is smaller than the sum of its proper divisors (3759561704360).

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

2420130031000 is a wasteful number, since it uses less digits than its factorization.

2420130031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62702 (or 62688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2420130031000 its reverse (1300310242), we get a palindrome (2421430341242).

The spelling of 2420130031000 in words is "two trillion, four hundred twenty billion, one hundred thirty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3733 5500 7466 11000 14932 18665 29864 37330 41063 58937 74660 82126 93325 117874 149320 164252 186650 205315 235748 294685 328504 373300 410630 466625 471496 589370 648307 746600 821260 933250 1026575 1178740 1296614 1473425 1642520 1866500 2053150 2357480 2593228 2946850 3241535 3733000 4106300 5132875 5186456 5893700 6483070 7367125 8212600 10265750 11787400 12966140 14734250 16207675 20531500 25932280 29468500 32415350 41063000 58937000 64830700 81038375 129661400 162076750 220011821 324153500 440023642 648307000 880047284 1100059105 1760094568 2200118210 2420130031 4400236420 4840260062 5500295525 8800472840 9680520124 11000591050 12100650155 19361040248 22001182100 24201300310 27501477625 44002364200 48402600620 55002955250 60503250775 96805201240 110005910500 121006501550 220011821000 242013003100 302516253875 484026006200 605032507750 1210065015500 2420130031000