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21132202000 = 2453713671733
BaseRepresentation
bin10011101011100100…
…111101000000010000
32000112201222002102011
4103223210331000100
5321234320431000
613412532232304
71345450516240
oct235344750020
960481862364
1021132202000
118a64639158
12411916b694
131cba121950
141046807b20
1583a3632ba
hex4eb93d010

21132202000 has 320 divisors, whose sum is σ = 63864912384. Its totient is φ = 6584371200.

The previous prime is 21132201977. The next prime is 21132202051. The reversal of 21132202000 is 20223112.

It is a super-3 number, since 3×211322020003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12193134 + ... + 12194866.

Almost surely, 221132202000 is an apocalyptic number.

21132202000 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 21132202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932456192).

21132202000 is an abundant number, since it is smaller than the sum of its proper divisors (42732710384).

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

21132202000 is a wasteful number, since it uses less digits than its factorization.

21132202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21132202000 its reverse (20223112), we get a palindrome (21152425112).

The spelling of 21132202000 in words is "twenty-one billion, one hundred thirty-two million, two hundred two thousand".