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30210100032300 = 223522332291355923
BaseRepresentation
bin1101101111001110101100…
…10001111111001100101100
310221222001112210222020121220
412313213112101333030230
512424430241102013200
6144130154532023340
76235415304243426
oct667472621771454
9127861483866556
1030210100032300
11969803898aa91
12347ab05461b50
1313b1a530a0ca6
147662689cd816
15375c79cba4a0
hex1b79d647f32c

30210100032300 has 144 divisors (see below), whose sum is σ = 91236546320640. Its totient is φ = 7703372540160.

The previous prime is 30210100032241. The next prime is 30210100032313. The reversal of 30210100032300 is 323000101203.

It is a super-2 number, since 2×302101000323002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30210100032300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21602139 + ... + 22958061.

Almost surely, 230210100032300 is an apocalyptic number.

30210100032300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30210100032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45618273160320).

30210100032300 is an abundant number, since it is smaller than the sum of its proper divisors (61026446288340).

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

30210100032300 is a wasteful number, since it uses less digits than its factorization.

30210100032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359192 (or 1359185 counting only the distinct ones).

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

Adding to 30210100032300 its reverse (323000101203), we get a palindrome (30533100133503).

The spelling of 30210100032300 in words is "thirty trillion, two hundred ten billion, one hundred million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3229 3450 6458 6900 9687 12916 16145 19374 32290 38748 48435 64580 74267 80725 96870 148534 161450 193740 222801 242175 297068 322900 371335 445602 484350 742670 891204 968700 1114005 1355923 1485340 1856675 2228010 2711846 3713350 4067769 4456020 5423692 5570025 6779615 7426700 8135538 11140050 13559230 16271076 20338845 22280100 27118460 31186229 33898075 40677690 62372458 67796150 81355380 93558687 101694225 124744916 135592300 155931145 187117374 203388450 311862290 374234748 406776900 467793435 623724580 779655725 935586870 1559311450 1871173740 2338967175 3118622900 4378275367 4677934350 8756550734 9355868700 13134826101 17513101468 21891376835 26269652202 43782753670 52539304404 65674130505 87565507340 100700333441 109456884175 131348261010 201400666882 218913768350 262696522020 302101000323 328370652525 402801333764 437827536700 503501667205 604202000646 656741305050 1007003334410 1208404001292 1313482610100 1510505001615 2014006668820 2517508336025 3021010003230 5035016672050 6042020006460 7552525008075 10070033344100 15105050016150 30210100032300