Search a number
-
+
32114152342100 = 22523717093507781
BaseRepresentation
bin1110100110101001010001…
…01001001000001001010100
311012201002020111022102100102
413103110220221020021110
513202124240444421400
6152145012105033232
76523112426654333
oct723245051101124
9135632214272312
1032114152342100
11a261598868034
123727b30785818
1314bc475530b7a
147d04946abd1a
153aa5696b79d5
hex1d3528a48254

32114152342100 has 72 divisors (see below), whose sum is σ = 71575490338968. Its totient is φ = 12497725094400.

The previous prime is 32114152342057. The next prime is 32114152342157. The reversal of 32114152342100 is 124325141123.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5711038889284 + 26403113452816 = 2389778^2 + 5138396^2 .

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, 62990210 + ... + 63497990.

Almost surely, 232114152342100 is an apocalyptic number.

It is an amenable number.

32114152342100 is an abundant number, since it is smaller than the sum of its proper divisors (39461337996868).

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

32114152342100 is a wasteful number, since it uses less digits than its factorization.

32114152342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524925 (or 524918 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 32114152342100 its reverse (124325141123), we get a palindrome (32238477483223).

The spelling of 32114152342100 in words is "thirty-two trillion, one hundred fourteen billion, one hundred fifty-two million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 17093 34186 68372 85465 170930 341860 427325 507781 632441 854650 1015562 1264882 1709300 2031124 2529764 2538905 3162205 5077810 6324410 10155620 12648820 12694525 15811025 18787897 25389050 31622050 37575794 50778100 63244100 75151588 93939485 187878970 375757940 469697425 939394850 1878789700 8679500633 17359001266 34718002532 43397503165 86795006330 173590012660 216987515825 321141523421 433975031650 642283046842 867950063300 1284566093684 1605707617105 3211415234210 6422830468420 8028538085525 16057076171050 32114152342100