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106032497841 = 3229607669283
BaseRepresentation
bin110001011000000000…
…1111000010010110001
3101010200120211222120200
41202300001320102301
53214123304412331
6120413300225413
710442404234524
oct1426001702261
9333616758520
10106032497841
1140a71643006
121867209b269
139cca5463aa
1451bc2ccbbb
152b58b415e6
hex18b00784b1

106032497841 has 24 divisors (see below), whose sum is σ = 158700622080. Its totient is φ = 68138261856.

The previous prime is 106032497797. The next prime is 106032497861. The reversal of 106032497841 is 148794230601.

106032497841 is a `hidden beast` number, since 10 + 603 + 24 + 9 + 7 + 8 + 4 + 1 = 666.

It is not a de Polignac number, because 106032497841 - 227 = 105898280113 is a prime.

It is a super-2 number, since 2×1060324978412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106032497861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176215 + ... + 493068.

It is an arithmetic number, because the mean of its divisors is an integer number (6612525920).

Almost surely, 2106032497841 is an apocalyptic number.

It is an amenable number.

106032497841 is a deficient number, since it is larger than the sum of its proper divisors (52668124239).

106032497841 is a wasteful number, since it uses less digits than its factorization.

106032497841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669925 (or 669922 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106032497841 in words is "one hundred six billion, thirty-two million, four hundred ninety-seven thousand, eight hundred forty-one".

Divisors: 1 3 9 29 87 261 607 1821 5463 17603 52809 158427 669283 2007849 6023547 19409207 58227621 174682863 406254781 1218764343 3656293029 11781388649 35344165947 106032497841