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4211020000 = 25541119141
BaseRepresentation
bin1111101011111111…
…0001000011100000
3101212110202222110201
43322333301003200
532111010120000
61533504434544
7206232036145
oct37277610340
911773688421
104211020000
111871013720
12996318a54
13521566915
142bd3a43cc
15199a5996a
hexfaff10e0

4211020000 has 120 divisors (see below), whose sum is σ = 11302125912. Its totient is φ = 1531200000.

The previous prime is 4211019997. The next prime is 4211020001. The reversal of 4211020000 is 201124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210430 + ... + 229570.

Almost surely, 24211020000 is an apocalyptic number.

4211020000 is a gapful number since it is divisible by the number (40) 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 4211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651062956).

4211020000 is an abundant number, since it is smaller than the sum of its proper divisors (7091105912).

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

4211020000 is a wasteful number, since it uses less digits than its factorization.

4211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19182 (or 19159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4211020000 is about 64892.3724331296. The cubic root of 4211020000 is about 1614.8385234751.

Adding to 4211020000 its reverse (201124), we get a palindrome (4211221124).

The spelling of 4211020000 in words is "four billion, two hundred eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 19141 20000 22000 27500 38282 44000 55000 76564 95705 110000 153128 191410 210551 220000 306256 382820 421102 478525 612512 765640 842204 957050 1052755 1531280 1684408 1914100 2105510 2392625 3062560 3368816 3828200 4211020 4785250 5263775 6737632 7656400 8422040 9570500 10527550 11963125 15312800 16844080 19141000 21055100 23926250 26318875 33688160 38282000 42110200 47852500 52637750 76564000 84220400 95705000 105275500 131594375 168440800 191410000 210551000 263188750 382820000 421102000 526377500 842204000 1052755000 2105510000 4211020000