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106511155665006 = 232337109191376139
BaseRepresentation
bin11000001101111100001111…
…100110010001100001101110
3111222010100220120102021220110
4120031330033212101201232
5102430034321322240011
61014310314401400450
731302114505131561
oct3015741746214156
9458110816367813
10106511155665006
1130a351446a6284
12bb426aa639126
134757c60881701
141c4324b6564d8
15c4a8ed927ba6
hex60df0f99186e

106511155665006 has 64 divisors (see below), whose sum is σ = 230386252377600. Its totient is φ = 32739098679936.

The previous prime is 106511155664989. The next prime is 106511155665073. The reversal of 106511155665006 is 600566551115601.

106511155665006 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1065111556650062 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 95131516 + ... + 96244623.

It is an arithmetic number, because the mean of its divisors is an integer number (3599785193400).

Almost surely, 2106511155665006 is an apocalyptic number.

106511155665006 is an abundant number, since it is smaller than the sum of its proper divisors (123875096712594).

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

106511155665006 is a wasteful number, since it uses less digits than its factorization.

106511155665006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191376313.

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 106511155665006 in words is "one hundred six trillion, five hundred eleven billion, one hundred fifty-five million, six hundred sixty-five thousand, six".

Divisors: 1 2 3 6 23 37 46 69 74 109 111 138 218 222 327 654 851 1702 2507 2553 4033 5014 5106 7521 8066 12099 15042 24198 92759 185518 278277 556554 191376139 382752278 574128417 1148256834 4401651197 7080917143 8803302394 13204953591 14161834286 20859999151 21242751429 26409907182 41719998302 42485502858 62579997453 125159994906 162861094289 325722188578 479779980473 488583282867 771819968587 959559960946 977166565734 1439339941419 1543639937174 2315459905761 2878679882838 4630919811522 17751859277501 35503718555002 53255577832503 106511155665006