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1031212321128 = 2332112575066287
BaseRepresentation
bin11110000000110010000…
…10110100100101101000
310122120201221220121210200
433000121002310211220
5113343410323234003
62105422110512200
7134334255050553
oct17003102644550
93576657817720
101031212321128
11368375520810
12147a32b05660
137632087a302
1437ca78ab69a
151bc56a116a3
hexf0190b4968

1031212321128 has 96 divisors (see below), whose sum is σ = 3058619391360. Its totient is φ = 311272611840.

The previous prime is 1031212321127. The next prime is 1031212321133. The reversal of 1031212321128 is 8211232121301.

It is a happy number.

1031212321128 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 212 + 321 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (1031212321127) 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, 2329600 + ... + 2736687.

It is an arithmetic number, because the mean of its divisors is an integer number (31860618660).

Almost surely, 21031212321128 is an apocalyptic number.

1031212321128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1031212321128 is an abundant number, since it is smaller than the sum of its proper divisors (2027407070232).

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

1031212321128 is a wasteful number, since it uses less digits than its factorization.

1031212321128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066567 (or 5066560 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1031212321128 its reverse (8211232121301), we get a palindrome (9242444442429).

It can be divided in two parts, 103121 and 2321128, that added together give a square (2424249 = 15572).

The spelling of 1031212321128 in words is "one trillion, thirty-one billion, two hundred twelve million, three hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 257 264 396 514 771 792 1028 1542 2056 2313 2827 3084 4626 5654 6168 8481 9252 11308 16962 18504 22616 25443 33924 50886 67848 101772 203544 5066287 10132574 15198861 20265148 30397722 40530296 45596583 55729157 60795444 91193166 111458314 121590888 167187471 182386332 222916628 334374942 364772664 445833256 501562413 668749884 1003124826 1302035759 1337499768 2006249652 2604071518 3906107277 4012499304 5208143036 7812214554 10416286072 11718321831 14322393349 15624429108 23436643662 28644786698 31248858216 42967180047 46873287324 57289573396 85934360094 93746574648 114579146792 128901540141 171868720188 257803080282 343737440376 515606160564 1031212321128