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213103103000 = 23535916322159
BaseRepresentation
bin1100011001110111101…
…1110100110000011000
3202101001112002021200112
43012131323310300120
511442413343244000
6241522003023452
721252615326324
oct3063573646030
9671045067615
10213103103000
1182416167447
123537396ab88
1317131b7cb68
14a458408984
155823990235
hex319def4c18

213103103000 has 128 divisors (see below), whose sum is σ = 510247296000. Its totient is φ = 83278627200.

The previous prime is 213103102967. The next prime is 213103103009. The reversal of 213103103000 is 301301312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103103009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9605921 + ... + 9628079.

It is an arithmetic number, because the mean of its divisors is an integer number (3986307000).

Almost surely, 2213103103000 is an apocalyptic number.

213103103000 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 213103103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255123648000).

213103103000 is an abundant number, since it is smaller than the sum of its proper divisors (297144193000).

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

213103103000 is a wasteful number, since it uses less digits than its factorization.

213103103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22402 (or 22388 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213103103000 its reverse (301301312), we get a palindrome (213404404312).

The spelling of 213103103000 in words is "two hundred thirteen billion, one hundred three million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 163 200 236 250 295 326 472 500 590 652 815 1000 1180 1304 1475 1630 2360 2950 3260 4075 5900 6520 7375 8150 9617 11800 14750 16300 19234 20375 22159 29500 32600 38468 40750 44318 48085 59000 76936 81500 88636 96170 110795 163000 177272 192340 221590 240425 384680 443180 480850 553975 886360 961700 1107950 1202125 1307381 1923400 2215900 2404250 2614762 2769875 3611917 4431800 4808500 5229524 5539750 6536905 7223834 9617000 10459048 11079500 13073810 14447668 18059585 22159000 26147620 28895336 32684525 36119170 52295240 65369050 72238340 90297925 130738100 144476680 163422625 180595850 213103103 261476200 326845250 361191700 426206206 451489625 653690500 722383400 852412412 902979250 1065515515 1307381000 1704824824 1805958500 2131031030 3611917000 4262062060 5327577575 8524124120 10655155150 21310310300 26637887875 42620620600 53275775750 106551551500 213103103000