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30102330132 = 22337210875233
BaseRepresentation
bin11100000010001111…
…010001101100010100
32212200212211210221000
4130002033101230110
5443122144031012
621455005223300
72113651404300
oct340217215424
985625753830
1030102330132
1111847a87196
125a01261b30
132ab9643384
141657c84d00
15bb2addddc
hex7023d1b14

30102330132 has 144 divisors (see below), whose sum is σ = 90885688320. Its totient is φ = 8591111424.

The previous prime is 30102330131. The next prime is 30102330133. The reversal of 30102330132 is 23103320103.

30102330132 is a `hidden beast` number, since 301 + 0 + 2 + 330 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (30102330131) and next prime (30102330133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30102330131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5749788 + ... + 5755020.

Almost surely, 230102330132 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 30102330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45442844160).

30102330132 is an abundant number, since it is smaller than the sum of its proper divisors (60783358188).

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

30102330132 is a wasteful number, since it uses less digits than its factorization.

30102330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30102330132 its reverse (23103320103), we get a palindrome (53205650235).

The spelling of 30102330132 in words is "thirty billion, one hundred two million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1087 1323 1764 2174 2646 3261 4348 5233 5292 6522 7609 9783 10466 13044 15218 15699 19566 20932 22827 29349 30436 31398 36631 39132 45654 47097 53263 58698 62796 68481 73262 91308 94194 106526 109893 117396 136962 141291 146524 159789 188388 205443 213052 219786 256417 273924 282582 319578 329679 410886 439572 479367 512834 565164 639156 659358 769251 821772 958734 989037 1025668 1318716 1438101 1538502 1917468 1978074 2307753 2876202 3077004 3956148 4615506 5688271 5752404 6923259 9231012 11376542 13846518 17064813 22753084 27693036 34129626 39817897 51194439 68259252 79635794 102388878 119453691 153583317 159271588 204777756 238907382 278725279 307166634 358361073 477814764 557450558 614333268 716722146 836175837 1075083219 1114901116 1433444292 1672351674 2150166438 2508527511 3344703348 4300332876 5017055022 7525582533 10034110044 15051165066 30102330132