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106016701158 = 232137199216037
BaseRepresentation
bin110001010111100010…
…1100111101011100110
3101010122111010102121100
41202233011213223212
53214110233414113
6120411533500530
710442123043204
oct1425705475346
9333574112540
10106016701158
1140a637337a5
1218668941746
139cc71a5244
1451ba17a074
152b57570d73
hex18af167ae6

106016701158 has 48 divisors (see below), whose sum is σ = 232543303200. Its totient is φ = 34904504448.

The previous prime is 106016701123. The next prime is 106016701177. The reversal of 106016701158 is 851107610601.

It is a super-2 number, since 2×1060167011582 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382716 + ... + 598752.

It is an arithmetic number, because the mean of its divisors is an integer number (4844652150).

Almost surely, 2106016701158 is an apocalyptic number.

106016701158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106016701158 is an abundant number, since it is smaller than the sum of its proper divisors (126526602042).

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

106016701158 is a wasteful number, since it uses less digits than its factorization.

106016701158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216381 (or 216378 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 106016701158 in words is "one hundred six billion, sixteen million, seven hundred one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 137 199 274 398 411 597 822 1194 1233 1791 2466 3582 27263 54526 81789 163578 216037 245367 432074 490734 648111 1296222 1944333 3888666 29597069 42991363 59194138 85982726 88791207 128974089 177582414 257948178 266373621 386922267 532747242 773844534 5889816731 11779633462 17669450193 35338900386 53008350579 106016701158