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210000011000 = 23531328157487
BaseRepresentation
bin1100001110010011111…
…0011101111011111000
3202002001021001212201012
43003210332131323320
511420040000323000
6240250033013052
721112665433013
oct3034476357370
9662037055635
10210000011000
11810735934aa
12348486b4188
1316a59011650
14a24224837a
1556e1335735
hex30e4f9def8

210000011000 has 128 divisors (see below), whose sum is σ = 531092540160. Its totient is φ = 77261184000.

The previous prime is 210000010951. The next prime is 210000011017. The reversal of 210000011000 is 110000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3624257 + ... + 3681743.

It is an arithmetic number, because the mean of its divisors is an integer number (4149160470).

Almost surely, 2210000011000 is an apocalyptic number.

210000011000 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 210000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265546270080).

210000011000 is an abundant number, since it is smaller than the sum of its proper divisors (321092529160).

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

210000011000 is a wasteful number, since it uses less digits than its factorization.

210000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57802 (or 57788 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 210000011000 its reverse (110000012), we get a palindrome (210110011012).

The spelling of 210000011000 in words is "two hundred ten billion, eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 281 325 500 520 562 650 1000 1124 1300 1405 1625 2248 2600 2810 3250 3653 5620 6500 7025 7306 11240 13000 14050 14612 18265 28100 29224 35125 36530 56200 57487 70250 73060 91325 114974 140500 146120 182650 229948 281000 287435 365300 456625 459896 574870 730600 747331 913250 1149740 1437175 1494662 1826500 2299480 2874350 2989324 3653000 3736655 5748700 5978648 7185875 7473310 11497400 14371750 14946620 16153847 18683275 28743500 29893240 32307694 37366550 57487000 64615388 74733100 80769235 93416375 129230776 149466200 161538470 186832750 210000011 323076940 373665500 403846175 420000022 646153880 747331000 807692350 840000044 1050000055 1615384700 1680000088 2019230875 2100000110 3230769400 4038461750 4200000220 5250000275 8076923500 8400000440 10500000550 16153847000 21000001100 26250001375 42000002200 52500002750 105000005500 210000011000