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10021207061106 = 2331078009216553
BaseRepresentation
bin1001000111010011111001…
…1111001011001001110010
31022111000111011001120122000
42101310332133023021302
52303141413001423411
633151402353554430
72053002565365633
oct221647637131162
938430434046560
1010021207061106
113213a741519aa
12115a215b75a16
13578cc392a5a7
1426905986188a
15125a1bb41956
hex91d3e7cb272

10021207061106 has 64 divisors (see below), whose sum is σ = 22480384118400. Its totient is φ = 3308755177728.

The previous prime is 10021207061069. The next prime is 10021207061171. The reversal of 10021207061106 is 60116070212001.

It is a happy number.

10021207061106 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 20 + 7 + 0 + 611 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10021207061106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46167726 + ... + 46384278.

It is an arithmetic number, because the mean of its divisors is an integer number (351256001850).

Almost surely, 210021207061106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021207061106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240192059200).

10021207061106 is an abundant number, since it is smaller than the sum of its proper divisors (12459177057294).

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

10021207061106 is a wasteful number, since it uses less digits than its factorization.

10021207061106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224680 (or 224674 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10021207061106 its reverse (60116070212001), we get a palindrome (70137277273107).

The spelling of 10021207061106 in words is "ten trillion, twenty-one billion, two hundred seven million, sixty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 8009 16018 24027 48054 72081 144162 216243 216553 432486 433106 649659 856963 1299318 1713926 1948977 2570889 3897954 5141778 5846931 7712667 11693862 15425334 23138001 23171171 46276002 46342342 69513513 139027026 208540539 417081078 625621617 1251243234 1734372977 3468745954 5203118931 10406237862 15609356793 31218713586 46828070379 93656140758 185577908539 371155817078 556733725617 1113467451234 1670201176851 3340402353702 5010603530553 10021207061106