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210002210100 = 2232521912280831
BaseRepresentation
bin1100001110010100011…
…0110110110100110100
3202002001102012121022100
43003211012312310310
511420041031210400
6240250152102100
721113023222254
oct3034506666464
9662042177270
10210002210100
1181074855741
1234849394930
1316a596015a7
14a24265b964
1556e161c100
hex30e51b6d34

210002210100 has 108 divisors (see below), whose sum is σ = 692884541440. Its totient is φ = 53053185600.

The previous prime is 210002210069. The next prime is 210002210107. The reversal of 210002210100 is 1012200012.

210002210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6123316 + ... + 6157515.

Almost surely, 2210002210100 is an apocalyptic number.

210002210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002210100 is an abundant number, since it is smaller than the sum of its proper divisors (482882331340).

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

210002210100 is a wasteful number, since it uses less digits than its factorization.

210002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280870 (or 12280860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210002210100 its reverse (1012200012), we get a palindrome (211014410112).

The spelling of 210002210100 in words is "two hundred ten billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 12280831 24561662 36842493 49123324 61404155 73684986 110527479 122808310 147369972 184212465 221054958 233335789 245616620 307020775 368424930 442109916 466671578 552637395 614041550 700007367 736849860 921062325 933343156 1105274790 1166678945 1228083100 1400014734 1842124650 2100022101 2210549580 2333357890 2763186975 2800029468 3500036835 3684249300 4200044202 4666715780 5526373950 5833394725 7000073670 8400088404 10500110505 11052747900 11666789450 14000147340 17500184175 21000221010 23333578900 35000368350 42000442020 52500552525 70000736700 105001105050 210002210100