Search a number
-
+
106707700340700 = 22352379613306337
BaseRepresentation
bin11000010000110011010010…
…100100101101011111011100
3111222211011020002220022112120
4120100303102210231133130
5102441244332241400300
61014540501340102540
731322243201250024
oct3020632244553734
9458734202808476
10106707700340700
1131000532a84158
12bb74800b34a50
134770654077094
141c4c974888a84
15c50aa38673a0
hex610cd292d7dc

106707700340700 has 72 divisors (see below), whose sum is σ = 317085296252592. Its totient is φ = 27686322247680.

The previous prime is 106707700340699. The next prime is 106707700340749. The reversal of 106707700340700 is 7043007707601.

It is a super-2 number, since 2×1067077003407002 (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 4806642069 + ... + 4806664268.

Almost surely, 2106707700340700 is an apocalyptic number.

106707700340700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106707700340700 is an abundant number, since it is smaller than the sum of its proper divisors (210377595911892).

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

106707700340700 is a wasteful number, since it uses less digits than its factorization.

106707700340700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9613306391 (or 9613306384 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The spelling of 106707700340700 in words is "one hundred six trillion, seven hundred seven billion, seven hundred million, three hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 9613306337 19226612674 28839919011 38453225348 48066531685 57679838022 96133063370 115359676044 144199595055 192266126740 240332658425 288399190110 355692334469 480665316850 576798380220 711384668938 720997975275 961330633700 1067077003407 1422769337876 1441995950550 1778461672345 2134154006814 2883991901100 3556923344690 4268308013628 5335385017035 7113846689380 8892308361725 10670770034070 17784616723450 21341540068140 26676925085175 35569233446900 53353850170350 106707700340700