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10130200020 = 22325793472053
BaseRepresentation
bin10010110111100111…
…01001010111010100
3222010222202110222100
421123303221113110
5131221312400040
64353113202100
7506015164563
oct113363512724
928128673870
1010130200020
114329263236
121b68700330
13c55975cc5
146c1575bda
153e452ab30
hex25bce95d4

10130200020 has 144 divisors (see below), whose sum is σ = 31222114560. Its totient is φ = 2658210048.

The previous prime is 10130200007. The next prime is 10130200027. The reversal of 10130200020 is 2000203101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10130199975 and 10130200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130200027) 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 47 ways as a sum of consecutive naturals, for example, 4933314 + ... + 4935366.

It is an arithmetic number, because the mean of its divisors is an integer number (216820240).

Almost surely, 210130200020 is an apocalyptic number.

10130200020 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 10130200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611057280).

10130200020 is an abundant number, since it is smaller than the sum of its proper divisors (21091914540).

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

10130200020 is a wasteful number, since it uses less digits than its factorization.

10130200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10130200020 its reverse (2000203101), we get a palindrome (12130403121).

The spelling of 10130200020 in words is "ten billion, one hundred thirty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 347 395 474 694 711 790 948 1041 1185 1388 1422 1580 1735 2053 2082 2370 2844 3123 3470 3555 4106 4164 4740 5205 6159 6246 6940 7110 8212 10265 10410 12318 12492 14220 15615 18477 20530 20820 24636 27413 30795 31230 36954 41060 54826 61590 62460 73908 82239 92385 109652 123180 137065 162187 164478 184770 246717 274130 324374 328956 369540 411195 486561 493434 548260 648748 712391 810935 822390 973122 986868 1233585 1424782 1459683 1621870 1644780 1946244 2137173 2432805 2467170 2849564 2919366 3243740 3561955 4274346 4865610 4934340 5838732 6411519 7123910 7298415 8548692 9731220 10685865 12823038 14247820 14596830 21371730 25646076 29193660 32057595 42743460 56278889 64115190 112557778 128230380 168836667 225115556 281394445 337673334 506510001 562788890 675346668 844183335 1013020002 1125577780 1688366670 2026040004 2532550005 3376733340 5065100010 10130200020