Search a number
-
+
210202000002100 = 225243370913179883
BaseRepresentation
bin101111110010110101110111…
…100010101000110000110100
31000120021010002210111122000001
4233302311313202220300310
5210022422144000031400
62023021244331401044
762163410341450051
oct5762656742506064
91016233083448001
10210202000002100
1160a82193056767
121b6aa6805b3184
139039c6abb1862
1439c9b8c6d0028
151947c82d19a6a
hexbf2d778a8c34

210202000002100 has 72 divisors (see below), whose sum is σ = 466872085322720. Its totient is φ = 82103284126080.

The previous prime is 210202000002077. The next prime is 210202000002149. The reversal of 210202000002100 is 1200000202012.

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

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, 9358759 + ... + 22538641.

Almost surely, 2210202000002100 is an apocalyptic number.

210202000002100 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 210202000002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233436042661360).

210202000002100 is an abundant number, since it is smaller than the sum of its proper divisors (256670085320620).

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

210202000002100 is a wasteful number, since it uses less digits than its factorization.

210202000002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13183649 (or 13183642 counting only the distinct ones).

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

Adding to 210202000002100 its reverse (1200000202012), we get a palindrome (211402000204112).

The spelling of 210202000002100 in words is "two hundred ten trillion, two hundred two billion, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 3709 4300 7418 14836 18545 37090 74180 92725 159487 185450 318974 370900 637948 797435 1594870 3189740 3987175 7974350 13179883 15948700 26359766 52719532 65899415 131798830 263597660 329497075 566734969 658994150 1133469938 1317988300 2266939876 2833674845 5667349690 11334699380 14168374225 28336748450 48884186047 56673496900 97768372094 195536744188 244420930235 488841860470 977683720940 1222104651175 2102020000021 2444209302350 4204040000042 4888418604700 8408080000084 10510100000105 21020200000210 42040400000420 52550500000525 105101000001050 210202000002100