Search a number
-
+
122101001000 = 23531167165673
BaseRepresentation
bin111000110110111001…
…0010110101100101000
3102200011102120112001022
41301231302112230220
54000030324013000
6132031544112012
711551530245516
oct1615562265450
9380142515038
10122101001000
1147867917290
121b7b7465608
13b68b565a24
145ca43b34b6
153299669585
hex1c6dc96b28

122101001000 has 128 divisors (see below), whose sum is σ = 316344562560. Its totient is φ = 43737408000.

The previous prime is 122101000937. The next prime is 122101001003. The reversal of 122101001000 is 100101221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (122101001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654164 + ... + 819836.

It is an arithmetic number, because the mean of its divisors is an integer number (2471441895).

Almost surely, 2122101001000 is an apocalyptic number.

122101001000 is a gapful number since it is divisible by the number (10) 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 122101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158172281280).

122101001000 is an abundant number, since it is smaller than the sum of its proper divisors (194243561560).

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

122101001000 is a wasteful number, since it uses less digits than its factorization.

122101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165772 (or 165758 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 122101001000 its reverse (100101221), we get a palindrome (122201102221).

It can be divided in two parts, 12 and 2101001000, that added together give a palindrome (2101001012).

The spelling of 122101001000 in words is "one hundred twenty-two billion, one hundred one million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 125 134 200 220 250 268 275 335 440 500 536 550 670 737 1000 1100 1340 1375 1474 1675 2200 2680 2750 2948 3350 3685 5500 5896 6700 7370 8375 11000 13400 14740 16750 18425 29480 33500 36850 67000 73700 92125 147400 165673 184250 331346 368500 662692 737000 828365 1325384 1656730 1822403 3313460 3644806 4141825 6626920 7289612 8283650 9112015 11100091 14579224 16567300 18224030 20709125 22200182 33134600 36448060 41418250 44400364 45560075 55500455 72896120 82836500 88800728 91120150 111000910 122101001 165673000 182240300 222001820 227800375 244202002 277502275 364480600 444003640 455600750 488404004 555004550 610505005 911201500 976808008 1110009100 1221010010 1387511375 1822403000 2220018200 2442020020 2775022750 3052525025 4884040040 5550045500 6105050050 11100091000 12210100100 15262625125 24420200200 30525250250 61050500500 122101001000