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10220331012120 = 2332590731300781
BaseRepresentation
bin1001010010111001101100…
…1100110001000000011000
31100012001110102220100211200
42110232123030301000120
52314422214214341440
633423053311154200
72103252221140155
oct224563314610030
940161412810750
1010220331012120
11329046645a579
121190928215960
13591a085ba988
1427494945d22c
1512acc321ac30
hex94b9b331018

10220331012120 has 96 divisors (see below), whose sum is σ = 33252698765520. Its totient is φ = 2722416641280.

The previous prime is 10220331012107. The next prime is 10220331012139. The reversal of 10220331012120 is 2121013302201.

10220331012120 is a `hidden beast` number, since 1 + 0 + 220 + 3 + 310 + 12 + 120 = 666.

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 = 10220331012093 and 10220331012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15323871 + ... + 15976910.

Almost surely, 210220331012120 is an apocalyptic number.

10220331012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220331012120 is an abundant number, since it is smaller than the sum of its proper divisors (23032367753400).

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

10220331012120 is a wasteful number, since it uses less digits than its factorization.

10220331012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31301705 (or 31301698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10220331012120 its reverse (2121013302201), we get a palindrome (12341344314321).

The spelling of 10220331012120 in words is "ten trillion, two hundred twenty billion, three hundred thirty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 907 1814 2721 3628 4535 5442 7256 8163 9070 10884 13605 16326 18140 21768 27210 32652 36280 40815 54420 65304 81630 108840 163260 326520 31300781 62601562 93902343 125203124 156503905 187804686 250406248 281707029 313007810 375609372 469511715 563414058 626015620 751218744 939023430 1126828116 1252031240 1408535145 1878046860 2253656232 2817070290 3756093720 5634140580 11268281160 28389808367 56779616734 85169425101 113559233468 141949041835 170338850202 227118466936 255508275303 283898083670 340677700404 425847125505 511016550606 567796167340 681355400808 851694251010 1022033101212 1135592334680 1277541376515 1703388502020 2044066202424 2555082753030 3406777004040 5110165506060 10220331012120