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1230021400032 = 253241531965443
BaseRepresentation
bin10001111001100010111…
…111010001010111100000
311100120220022021020200100
4101321202333101113200
5130123040434300112
62341021455222400
7154603035251445
oct21714277212740
94316808236610
101230021400032
114347160172a7
1217a477817a00
138bcb5233539
14437677439cc
1521ee06402dc
hex11e62fd15e0

1230021400032 has 144 divisors (see below), whose sum is σ = 3650796506448. Its totient is φ = 392459458560.

The previous prime is 1230021400019. The next prime is 1230021400033. The reversal of 1230021400032 is 2300041200321.

1230021400032 is a `hidden beast` number, since 1 + 230 + 0 + 2 + 1 + 400 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1230021399978 and 1230021400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230021400033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356898 + ... + 1608545.

It is an arithmetic number, because the mean of its divisors is an integer number (25352753517).

Almost surely, 21230021400032 is an apocalyptic number.

1230021400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1230021400032 is an abundant number, since it is smaller than the sum of its proper divisors (2420775106416).

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

1230021400032 is a wasteful number, since it uses less digits than its factorization.

1230021400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965553 (or 1965542 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1230021400032 its reverse (2300041200321), we get a palindrome (3530062600353).

The spelling of 1230021400032 in words is "one trillion, two hundred thirty billion, twenty-one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 53 72 82 96 106 123 144 159 164 212 246 288 318 328 369 424 477 492 636 656 738 848 954 984 1272 1312 1476 1696 1908 1968 2173 2544 2952 3816 3936 4346 5088 5904 6519 7632 8692 11808 13038 15264 17384 19557 26076 34768 39114 52152 69536 78228 104304 156456 208608 312912 625824 1965443 3930886 5896329 7861772 11792658 15723544 17688987 23585316 31447088 35377974 47170632 62894176 70755948 80583163 94341264 104168479 141511896 161166326 188682528 208336958 241749489 283023792 312505437 322332652 416673916 483498978 566047584 625010874 644665304 725248467 833347832 937516311 966997956 1250021748 1289330608 1450496934 1666695664 1875032622 1933995912 2500043496 2578661216 2900993868 3333391328 3750065244 3867991824 4270907639 5000086992 5801987736 7500130488 7735983648 8541815278 10000173984 11603975472 12812722917 15000260976 17083630556 23207950944 25625445834 30000521952 34167261112 38438168751 51250891668 68334522224 76876337502 102501783336 136669044448 153752675004 205003566672 307505350008 410007133344 615010700016 1230021400032