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10232431220121 = 31143653101910837
BaseRepresentation
bin1001010011100110110001…
…1011011001010110011001
31100020012200201120121201120
42110321230123121112121
52320122004343020441
633432414120435453
72104161120203415
oct224715433312631
940205621517646
1010232431220121
113295605734980
121193144618b89
13592bb6439876
142753764c3d45
1512b280682966
hex94e6c6d9599

10232431220121 has 64 divisors (see below), whose sum is σ = 15269365140480. Its totient is φ = 6041484368640.

The previous prime is 10232431220041. The next prime is 10232431220149. The reversal of 10232431220121 is 12102213423201.

It is not a de Polignac number, because 10232431220121 - 210 = 10232431219097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10232431220091 and 10232431220100.

It is not an unprimeable number, because it can be changed into a prime (10232431220171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944207115 + ... + 944217951.

It is an arithmetic number, because the mean of its divisors is an integer number (238583830320).

Almost surely, 210232431220121 is an apocalyptic number.

10232431220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10232431220121 is a deficient number, since it is larger than the sum of its proper divisors (5036933920359).

10232431220121 is a wasteful number, since it uses less digits than its factorization.

10232431220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10232431220121 its reverse (12102213423201), we get a palindrome (22334644643322).

The spelling of 10232431220121 in words is "ten trillion, two hundred thirty-two billion, four hundred thirty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 43 129 473 653 1019 1419 1959 3057 7183 10837 11209 21549 28079 32511 33627 43817 84237 119207 131451 308869 357621 465991 481987 665407 926607 1397973 1445961 1996221 5125901 7076561 7319477 11042903 15377703 21229683 21958431 28612501 33128709 77842171 85837503 121471933 233526513 304292123 314737511 364415799 474844829 912876369 944212533 1424534487 3347213353 5223293119 7211015659 10041640059 15669879357 21633046977 79321172249 237963516747 310073673337 930221020011 3410810406707 10232431220121