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10021310103133 = 733119130716073
BaseRepresentation
bin1001000111010100010010…
…1000001111111001011101
31022111000202022221122201101
42101311010220033321131
52303142120341300013
633151420514313101
72053005256261000
oct221650450177135
938430668848641
1010021310103133
1132140173309aa
12115a244588791
1357900c0978c4
14269069405537
15125a25be78dd
hex91d44a0fe5d

10021310103133 has 64 divisors (see below), whose sum is σ = 12167066419200. Its totient is φ = 8241638025600.

The previous prime is 10021310103127. The next prime is 10021310103139. The reversal of 10021310103133 is 33130101312001.

10021310103133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021310103127) and next prime (10021310103139).

It is not a de Polignac number, because 10021310103133 - 29 = 10021310102621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021310103133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021310103139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623479185 + ... + 623495257.

It is an arithmetic number, because the mean of its divisors is an integer number (190110412800).

Almost surely, 210021310103133 is an apocalyptic number.

It is an amenable number.

10021310103133 is a deficient number, since it is larger than the sum of its proper divisors (2145756316067).

10021310103133 is a wasteful number, since it uses less digits than its factorization.

10021310103133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16623 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10021310103133 its reverse (33130101312001), we get a palindrome (43151411415134).

The spelling of 10021310103133 in words is "ten trillion, twenty-one billion, three hundred ten million, one hundred three thousand, one hundred thirty-three".

Divisors: 1 7 31 49 191 217 307 343 1337 1519 2149 5921 9359 9517 10633 15043 16073 41447 58637 65513 66619 105301 112511 290129 410459 466333 498263 787577 1817747 2030903 2873213 3069943 3264331 3487841 4934411 5513039 12724229 20112491 21489601 24414887 34540877 89069603 95168233 150427207 152966741 170904209 241786139 623487221 666177631 942472501 1052990449 1070767187 1692502973 4663243417 6597307507 7495370309 29216647531 32642703919 46181152549 52467592163 204516532717 323268067843 1431615729019 10021310103133