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21230013003000 = 2335331672234503
BaseRepresentation
bin1001101001110111111110…
…11000100011010011111000
32210011120101002221010202220
410310323333120203103320
510240313031312044000
6113052533333324040
74320550341031254
oct464737730432370
983146332833686
1021230013003000
11684566396953a
12246a628496620
13bacc9b8671c9
14535776817264
1526c3948b81a0
hex134eff6234f8

21230013003000 has 128 divisors (see below), whose sum is σ = 66258585169920. Its totient is φ = 5659546665600.

The previous prime is 21230013002987. The next prime is 21230013003011. The reversal of 21230013003000 is 30031003212.

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

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, 8383749 + ... + 10618251.

It is an arithmetic number, because the mean of its divisors is an integer number (517645196640).

Almost surely, 221230013003000 is an apocalyptic number.

21230013003000 is a gapful number since it is divisible by the number (20) 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 21230013003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129292584960).

21230013003000 is an abundant number, since it is smaller than the sum of its proper divisors (45028572166920).

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

21230013003000 is a wasteful number, since it uses less digits than its factorization.

21230013003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237694 (or 2237680 counting only the distinct ones).

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

Adding to 21230013003000 its reverse (30031003212), we get a palindrome (21260044006212).

The spelling of 21230013003000 in words is "twenty-one trillion, two hundred thirty billion, thirteen million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3167 6334 9501 12668 15835 19002 25336 31670 38004 47505 63340 76008 79175 95010 126680 158350 190020 237525 316700 380040 395875 475050 633400 791750 950100 1187625 1583500 1900200 2234503 2375250 3167000 4469006 4750500 6703509 8938012 9501000 11172515 13407018 17876024 22345030 26814036 33517545 44690060 53628072 55862575 67035090 89380120 111725150 134070180 167587725 223450300 268140360 279312875 335175450 446900600 558625750 670350900 837938625 1117251500 1340701800 1675877250 2234503000 3351754500 6703509000 7076671001 14153342002 21230013003 28306684004 35383355005 42460026006 56613368008 70766710010 84920052012 106150065015 141533420020 169840104024 176916775025 212300130030 283066840040 353833550050 424600260060 530750325075 707667100100 849200520120 884583875125 1061500650150 1415334200200 1769167750250 2123001300300 2653751625375 3538335500500 4246002600600 5307503250750 7076671001000 10615006501500 21230013003000