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146102106332 = 227133150325741
BaseRepresentation
bin1000100000010001011…
…1010011100011011100
3111222010002212222222102
42020010113103203130
54343204114400312
6151041323104232
713361355261530
oct2100427234334
9458102788872
10146102106332
1156a63914a26
1224395372078
1310a14b5b1c0
1470ddc19bc0
153c017c7ec2
hex22045d38dc

146102106332 has 96 divisors (see below), whose sum is σ = 325490909184. Its totient is φ = 55820793600.

The previous prime is 146102106331. The next prime is 146102106347. The reversal of 146102106332 is 233601201641.

It is a junction number, because it is equal to n+sod(n) for n = 146102106295 and 146102106304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146102106331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5662982 + ... + 5688722.

It is an arithmetic number, because the mean of its divisors is an integer number (3390530304).

Almost surely, 2146102106332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146102106332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162745454592).

146102106332 is an abundant number, since it is smaller than the sum of its proper divisors (179388802852).

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

146102106332 is a wasteful number, since it uses less digits than its factorization.

146102106332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26299 (or 26297 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 146102106332 its reverse (233601201641), we get a palindrome (379703307973).

The spelling of 146102106332 in words is "one hundred forty-six billion, one hundred two million, one hundred six thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 503 806 868 1006 1612 2012 2821 3521 5642 6539 7042 11284 13078 14084 15593 25741 26156 31186 45773 51482 62372 91546 102964 109151 180187 183092 202709 218302 334633 360374 405418 436604 669266 720748 797971 810836 1338532 1418963 1595942 2342431 2837926 3191884 4684862 5585797 5675852 9369724 10373623 11171594 12947723 20747246 22343188 25895446 41494492 51790892 72615361 90634061 145230722 168320399 181268122 290461444 336640798 362536244 401379413 673281596 802758826 1178242793 1605517652 2356485586 2809655891 4712971172 5217932369 5619311782 10435864738 11238623564 20871729476 36525526583 73051053166 146102106332