Search a number
-
+
122102010100000 = 25557174431443
BaseRepresentation
bin11011110000110100010110…
…111100000011100100100000
3121000022211122000121212222101
4123300310112330003210200
5112001004404041200000
61111404520012220144
734501402431216460
oct3360642674034440
9530284560555871
10122102010100000
11359a6198565a67
121184023016a654
135319229a73058
142221aa9907ba0
15e1b248077e6a
hex6f0d16f03920

122102010100000 has 144 divisors (see below), whose sum is σ = 343389927013056. Its totient is φ = 41863546080000.

The previous prime is 122102010099983. The next prime is 122102010100033. The reversal of 122102010100000 is 1010201221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122102010100000.

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, 86515722 + ... + 87915721.

It is an arithmetic number, because the mean of its divisors is an integer number (2384652270924).

Almost surely, 2122102010100000 is an apocalyptic number.

122102010100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102010100000 is an abundant number, since it is smaller than the sum of its proper divisors (221287916913056).

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

122102010100000 is an frugal number, since it uses more digits than its factorization.

122102010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174431485 (or 174431457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122102010100000 its reverse (1010201221), we get a palindrome (122103020301221).

The spelling of 122102010100000 in words is "one hundred twenty-two trillion, one hundred two billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 350000 700000 174431443 348862886 697725772 872157215 1221020101 1395451544 1744314430 2442040202 2790903088 3488628860 4360786075 4884080404 5581806176 6105100505 6977257720 8721572150 9768160808 12210201010 13954515440 17443144300 19536321616 21803930375 24420402020 27909030880 30525502525 34886288600 39072643232 43607860750 48840804040 61051005050 69772577200 87215721500 97681608080 109019651875 122102010100 139545154400 152627512625 174431443000 195363216160 218039303750 244204020200 305255025250 348862886000 436078607500 488408040400 545098259375 610510050500 697725772000 763137563125 872157215000 976816080800 1090196518750 1221020101000 1526275126250 1744314430000 2180393037500 2442040202000 3052550252500 3488628860000 3815687815625 4360786075000 4884080404000 6105100505000 7631375631250 8721572150000 12210201010000 15262751262500 17443144300000 24420402020000 30525502525000 61051005050000 122102010100000