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101033414433 = 3272229100713
BaseRepresentation
bin101111000011000001…
…1111000111100100001
3100122210012012020100100
41132012003320330201
53123404023230213
6114225240413013
710204462565400
oct1360603707441
9318705166310
10101033414433
1139936801716
12176b7a77169
1396b1948a83
144c663c9637
152964d1b773
hex17860f8f21

101033414433 has 18 divisors (see below), whose sum is σ = 169763629074. Its totient is φ = 57733379424.

The previous prime is 101033414429. The next prime is 101033414479. The reversal of 101033414433 is 334414330101.

It can be written as a sum of positive squares in only one way, i.e., 77680378944 + 23353035489 = 278712^2 + 152817^2 .

It is not a de Polignac number, because 101033414433 - 22 = 101033414429 is a prime.

It is a super-2 number, since 2×1010334144332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101033414397 and 101033414406.

It is not an unprimeable number, because it can be changed into a prime (101033414423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114549916 + ... + 114550797.

Almost surely, 2101033414433 is an apocalyptic number.

It is an amenable number.

101033414433 is a deficient number, since it is larger than the sum of its proper divisors (68730214641).

101033414433 is a wasteful number, since it uses less digits than its factorization.

101033414433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229100733 (or 229100723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101033414433 its reverse (334414330101), we get a palindrome (435447744534).

The spelling of 101033414433 in words is "one hundred one billion, thirty-three million, four hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 229100713 687302139 1603704991 2061906417 4811114973 11225934937 14433344919 33677804811 101033414433