Search a number
-
+
102220441331100 = 223523163107725199
BaseRepresentation
bin10111001111100000001101…
…000110000010010110011100
3111101221011211022102021110020
4113033200031012002112130
5101344234430440043400
61001223231130312140
730350116554063651
oct2717401506022634
9441834738367406
10102220441331100
112a63049a282824
12b56b00ab88650
134506466957071
141b356d250bc28
15bc3ec55b72a0
hex5cf80d18259c

102220441331100 has 72 divisors (see below), whose sum is σ = 295851318470400. Its totient is φ = 27250166086080.

The previous prime is 102220441331093. The next prime is 102220441331101. The reversal of 102220441331100 is 1133144022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220441331101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52913700 + ... + 54811499.

Almost surely, 2102220441331100 is an apocalyptic number.

102220441331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220441331100 is an abundant number, since it is smaller than the sum of its proper divisors (193630877139300).

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

102220441331100 is a wasteful number, since it uses less digits than its factorization.

102220441331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107728379 (or 107728372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102220441331100 its reverse (1133144022201), we get a palindrome (103353585353301).

The spelling of 102220441331100 in words is "one hundred two trillion, two hundred twenty billion, four hundred forty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3163 6326 9489 12652 15815 18978 31630 37956 47445 63260 79075 94890 158150 189780 237225 316300 474450 948900 107725199 215450398 323175597 430900796 538625995 646351194 1077251990 1292702388 1615877985 2154503980 2693129975 3231755970 5386259950 6463511940 8079389925 10772519900 16158779850 32317559700 340734804437 681469608874 1022204413311 1362939217748 1703674022185 2044408826622 3407348044370 4088817653244 5111022066555 6814696088740 8518370110925 10222044133110 17036740221850 20444088266220 25555110332775 34073480443700 51110220665550 102220441331100