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1012442131220 = 225137949291243
BaseRepresentation
bin11101011101110100100…
…00001110101100010100
310120210021211111011211212
432232322100032230110
5113041440141144340
62053035352320552
7133101155060042
oct16567220165424
93523254434755
101012442131220
11360413209273
121442749a3158
137461bc03570
1437006a75392
151b508c1da65
hexebba40eb14

1012442131220 has 48 divisors (see below), whose sum is σ = 2318660117760. Its totient is φ = 369092820096.

The previous prime is 1012442131201. The next prime is 1012442131223. The reversal of 1012442131220 is 221312442101.

1012442131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10124421312203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012442131223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24625082 + ... + 24666161.

It is an arithmetic number, because the mean of its divisors is an integer number (48305419120).

Almost surely, 21012442131220 is an apocalyptic number.

1012442131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012442131220 is an abundant number, since it is smaller than the sum of its proper divisors (1306217986540).

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

1012442131220 is a wasteful number, since it uses less digits than its factorization.

1012442131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49291344 (or 49291342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1012442131220 its reverse (221312442101), we get a palindrome (1233754573321).

The spelling of 1012442131220 in words is "one trillion, twelve billion, four hundred forty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 4108 5135 10270 20540 49291243 98582486 197164972 246456215 492912430 640786159 985824860 1281572318 2563144636 3203930795 3894008197 6407861590 7788016394 12815723180 15576032788 19470040985 38940081970 50622106561 77880163940 101244213122 202488426244 253110532805 506221065610 1012442131220