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107700033441 = 37112136315167
BaseRepresentation
bin110010001001101101…
…1000001011110100001
3101021222210121120101110
41210103123001132201
53231032202032231
6121250545253533
710531623115410
oct1442333013641
9337883546343
10107700033441
1141747952200
1218a586342a9
13a204b67050
1452d9963477
152c05231046
hex19136c17a1

107700033441 has 96 divisors (see below), whose sum is σ = 194611830784. Its totient is φ = 51552547200.

The previous prime is 107700033421. The next prime is 107700033449. The reversal of 107700033441 is 144330007701.

It is not a de Polignac number, because 107700033441 - 210 = 107700032417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107700033399 and 107700033408.

It is not an unprimeable number, because it can be changed into a prime (107700033449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20841240 + ... + 20846406.

Almost surely, 2107700033441 is an apocalyptic number.

107700033441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107700033441 is a deficient number, since it is larger than the sum of its proper divisors (86911797343).

107700033441 is a wasteful number, since it uses less digits than its factorization.

107700033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 107700033441 in words is "one hundred seven billion, seven hundred million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 631 847 1001 1573 1893 2541 3003 4417 4719 5167 6941 8203 11011 13251 15501 20823 24609 33033 36169 48587 56837 57421 67171 76351 90233 108507 145761 170511 172263 201513 229053 270699 397859 470197 534457 625207 631631 738881 992563 1193577 1410591 1603371 1875621 1894893 2216643 2977689 3260377 4376449 5172167 6947941 8127691 9781131 13129347 15516501 20843823 22822639 24383073 35864147 42384901 56893837 68467917 107592441 127154703 170681511 251049029 296694307 394505617 466233911 753147087 890082921 1183516851 1398701733 2761539319 3263637377 5128573021 8284617957 9790912131 15385719063 35900011147 107700033441