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30211002100 = 22521034216967
BaseRepresentation
bin11100001000101101…
…110100111011110100
32212222110022220211201
4130020231310323310
5443333004031400
621513450342244
72116441165216
oct341055647364
985873286751
1030211002100
11118a3361034
125a3172a984
132b06002106
1416684925b6
15bbc40806a
hex708b74ef4

30211002100 has 72 divisors (see below), whose sum is σ = 66361113728. Its totient is φ = 11936937600.

The previous prime is 30211002089. The next prime is 30211002137. The reversal of 30211002100 is 120011203.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4332817 + ... + 4339783.

Almost surely, 230211002100 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 30211002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33180556864).

30211002100 is an abundant number, since it is smaller than the sum of its proper divisors (36150111628).

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

30211002100 is a wasteful number, since it uses less digits than its factorization.

30211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 30211002100 its reverse (120011203), we get a palindrome (30331013303).

The spelling of 30211002100 in words is "thirty billion, two hundred eleven million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 421 515 842 1030 1684 2060 2105 2575 4210 5150 6967 8420 10300 10525 13934 21050 27868 34835 42100 43363 69670 86726 139340 173452 174175 216815 348350 433630 696700 717601 867260 1084075 1435202 2168150 2870404 2933107 3588005 4336300 5866214 7176010 11732428 14352020 14665535 17940025 29331070 35880050 58662140 71760100 73327675 146655350 293310700 302110021 604220042 1208440084 1510550105 3021100210 6042200420 7552750525 15105501050 30211002100