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106217222518276 = 221259240932
BaseRepresentation
bin11000001001101010011111…
…110100010011011000000100
3111221002021012212100100021121
4120021222133310103120010
5102410230332431041101
61013523303550123324
731241640535454122
oct3011523764233004
9457067185310247
10106217222518276
1130931520041701
12bab5738ab0544
13473631992800c
141c32d26166912
15c42e48baa0a1
hex609a9fd13604

106217222518276 has 27 divisors (see below), whose sum is σ = 186073359131541. Its totient is φ = 53053462922064.

The previous prime is 106217222518271. The next prime is 106217222518357. The reversal of 106217222518276 is 672815222712601.

The square root of 106217222518276 is 10306174.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44022296104900 + 62194926413376 = 6634930^2 + 7886376^2 .

It is a super-2 number, since 2×1062172225182762 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106217222518271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25950944086 + ... + 25950948178.

Almost surely, 2106217222518276 is an apocalyptic number.

106217222518276 is the 10306174-th square number.

It is an amenable number.

106217222518276 is a deficient number, since it is larger than the sum of its proper divisors (79856136613265).

106217222518276 is an frugal number, since it uses more digits than its factorization.

106217222518276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 106217222518276 in words is "one hundred six trillion, two hundred seventeen billion, two hundred twenty-two million, five hundred eighteen thousand, two hundred seventy-six".

Divisors: 1 2 4 1259 2518 4093 5036 8186 16372 1585081 3170162 5153087 6340324 10306174 16752649 20612348 33505298 67010596 6487736533 12975473066 21091585091 25950946132 42183170182 84366340364 26554305629569 53108611259138 106217222518276