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30130210032 = 243131719149491
BaseRepresentation
bin11100000011111001…
…101000010011110000
32212202211022020221220
4130003321220103300
5443201313210112
621501442545040
72114440362636
oct340371502360
985684266856
1030130210032
111186179982a
125a0a668180
132ac2355360
14165b861356
15bb529998c
hex703e684f0

30130210032 has 160 divisors (see below), whose sum is σ = 93426520320. Its totient is φ = 8266199040.

The previous prime is 30130210021. The next prime is 30130210067. The reversal of 30130210032 is 23001203103.

It is a junction number, because it is equal to n+sod(n) for n = 30130209993 and 30130210020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126807 + ... + 276297.

It is an arithmetic number, because the mean of its divisors is an integer number (583915752).

Almost surely, 230130210032 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 30130210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46713260160).

30130210032 is an abundant number, since it is smaller than the sum of its proper divisors (63296310288).

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

30130210032 is a wasteful number, since it uses less digits than its factorization.

30130210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149551 (or 149545 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30130210032 its reverse (23001203103), we get a palindrome (53131413135).

The spelling of 30130210032 in words is "thirty billion, one hundred thirty million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 152 156 204 208 221 228 247 272 304 312 323 408 442 456 494 624 646 663 741 816 884 912 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3536 3876 3952 4199 5168 5304 5928 7752 8398 10608 11856 12597 15504 16796 25194 33592 50388 67184 100776 149491 201552 298982 448473 597964 896946 1195928 1793892 1943383 2391856 2541347 2840329 3587784 3886766 5082694 5680658 5830149 7175568 7624041 7773532 8520987 10165388 11361316 11660298 15248082 15547064 17041974 20330776 22722632 23320596 30496164 31094128 33037511 34083948 36924277 40661552 45445264 46641192 48285593 60992328 66075022 68167896 73848554 93282384 96571186 99112533 110772831 121984656 132150044 136335792 144856779 147697108 193142372 198225066 221545662 264300088 289713558 295394216 386284744 396450132 443091324 528600176 579427116 590788432 627712709 772569488 792900264 886182648 1158854232 1255425418 1585800528 1772365296 1883138127 2317708464 2510850836 3766276254 5021701672 7532552508 10043403344 15065105016 30130210032