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20213233002100 = 2252929285776157
BaseRepresentation
bin1001001100010010000101…
…00100101010011001110100
32122120100212221222100102001
410212021002210222121310
510122133200122031400
6110553455301225044
74154233520441635
oct446110244523164
978510787870361
1020213233002100
116493425087606
122325562a02184
13b3813b045468
144dc47b9db88c
15250bd4e34a6a
hex12624292a674

20213233002100 has 72 divisors (see below), whose sum is σ = 43925876610840. Its totient is φ = 8073657016320.

The previous prime is 20213233001989. The next prime is 20213233002133. The reversal of 20213233002100 is 120033231202.

It can be written as a sum of positive squares in 12 ways, for example, as 13721112456804 + 6492120545296 = 3704202^2 + 2547964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265377222 + ... + 265453378.

It is an arithmetic number, because the mean of its divisors is an integer number (610081619595).

Almost surely, 220213233002100 is an apocalyptic number.

20213233002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213233002100 is an abundant number, since it is smaller than the sum of its proper divisors (23712643608740).

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

20213233002100 is a wasteful number, since it uses less digits than its factorization.

20213233002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79957 (or 79950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20213233002100 its reverse (120033231202), we get a palindrome (20333266233302).

The spelling of 20213233002100 in words is "twenty trillion, two hundred thirteen billion, two hundred thirty-three million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 929 1858 2857 3716 4645 5714 9290 11428 14285 18580 23225 28570 46450 57140 71425 76157 92900 142850 152314 285700 304628 380785 761570 1523140 1903925 2654153 3807850 5308306 7615700 10616612 13270765 26541530 53083060 66353825 70749853 132707650 141499706 217580549 265415300 282999412 353749265 435161098 707498530 870322196 1087902745 1414997060 1768746325 2175805490 3537492650 4351610980 5439513725 7074985300 10879027450 21758054900 202132330021 404264660042 808529320084 1010661650105 2021323300210 4042646600420 5053308250525 10106616501050 20213233002100