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1060166006100 = 2232523731836817
BaseRepresentation
bin11110110110101101101…
…00010111010101010100
310202100110210101012210100
433123112310113111110
5114332204444143400
62131011124454100
7136410621236355
oct17332664272524
93670423335710
101060166006100
11379683087883
1215157354a330
1378c8623a196
1439452d8dd2c
151c89d85b100
hexf6d6d17554

1060166006100 has 108 divisors (see below), whose sum is σ = 3412843215964. Its totient is φ = 275070090240.

The previous prime is 1060166006099. The next prime is 1060166006161. The reversal of 1060166006100 is 16006610601.

It can be written as a sum of positive squares in 6 ways, for example, as 27938453904 + 1032227552196 = 167148^2 + 1015986^2 .

It is a super-2 number, since 2×10601660061002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15885109 + ... + 15951708.

Almost surely, 21060166006100 is an apocalyptic number.

1060166006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1060166006100 is an abundant number, since it is smaller than the sum of its proper divisors (2352677209864).

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

1060166006100 is a wasteful number, since it uses less digits than its factorization.

1060166006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31836874 (or 31836864 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

It can be divided in two parts, 106016 and 6006100, that added together give a palindrome (6112116).

The spelling of 1060166006100 in words is "one trillion, sixty billion, one hundred sixty-six million, six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 31836817 63673634 95510451 127347268 159184085 191020902 286531353 318368170 382041804 477552255 573062706 636736340 795920425 955104510 1146125412 1177962229 1432656765 1591840850 1910209020 2355924458 2387761275 2865313530 3183681700 3533886687 4711848916 4775522550 5730627060 5889811145 7067773374 7163283825 9551045100 10601660061 11779622290 14135546748 14326567650 17669433435 21203320122 23559244580 28653135300 29449055725 35338866870 42406640244 53008300305 58898111450 70677733740 88347167175 106016600610 117796222900 176694334350 212033201220 265041501525 353388668700 530083003050 1060166006100