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10223000223120 = 24325107132697303
BaseRepresentation
bin1001010011000011101001…
…0010111111110110010000
31100012022100110111022222100
42110300322102333312100
52314443201024114440
633424214221440400
72103405322100346
oct224607222776620
940168313438870
1010223000223120
113291606127283
121191352110100
135920425b4279
14274b1db59996
1512adcc71d230
hex94c3a4bfd90

10223000223120 has 120 divisors (see below), whose sum is σ = 34653104755776. Its totient is φ = 2700655490304.

The previous prime is 10223000223109. The next prime is 10223000223127. The reversal of 10223000223120 is 2132200032201.

10223000223120 is a `hidden beast` number, since 1 + 0 + 22 + 300 + 0 + 223 + 120 = 666.

10223000223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 10223000223093 and 10223000223102.

It is not an unprimeable number, because it can be changed into a prime (10223000223127) 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, 66271612 + ... + 66425691.

Almost surely, 210223000223120 is an apocalyptic number.

10223000223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223000223120 is an abundant number, since it is smaller than the sum of its proper divisors (24430104532656).

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

10223000223120 is a wasteful number, since it uses less digits than its factorization.

10223000223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132697429 (or 132697420 counting only the distinct ones).

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

Adding to 10223000223120 its reverse (2132200032201), we get a palindrome (12355200255321).

The spelling of 10223000223120 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 9630 12840 15408 19260 25680 38520 77040 132697303 265394606 398091909 530789212 663486515 796183818 1061578424 1194275727 1326973030 1592367636 1990459545 2123156848 2388551454 2653946060 3184735272 3980919090 4777102908 5307892120 5971378635 6369470544 7961838180 9554205816 10615784240 11942757270 14198611421 15923676360 19108411632 23885514540 28397222842 31847352720 42595834263 47771029080 56794445684 70993057105 85191668526 95542058160 113588891368 127787502789 141986114210 170383337052 212979171315 227177782736 255575005578 283972228420 340766674104 425958342630 511150011156 567944456840 638937513945 681533348208 851916685260 1022300022312 1135888913680 1277875027890 1703833370520 2044600044624 2555750055780 3407666741040 5111500111560 10223000223120