Search a number
-
+
101011202222000 = 2453734583208631
BaseRepresentation
bin10110111101111010000000…
…110100111010011110110000
3111020122120120100200210102212
4112331322000310322132300
5101214431420232101000
6554455523343431252
730163550520204530
oct2675720064723660
9436576510623385
10101011202222000
112a204679330284
12b3b47932b5528
1344494141c08c5
141ad2d7ad294c0
15ba27ee71cc35
hex5bde80d3a7b0

101011202222000 has 160 divisors (see below), whose sum is σ = 279146651756544. Its totient is φ = 34631244768000.

The previous prime is 101011202221981. The next prime is 101011202222111. The reversal of 101011202222000 is 222202110101.

101011202222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484057685 + ... + 484266315.

Almost surely, 2101011202222000 is an apocalyptic number.

101011202222000 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 101011202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139573325878272).

101011202222000 is an abundant number, since it is smaller than the sum of its proper divisors (178135449534544).

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

101011202222000 is a wasteful number, since it uses less digits than its factorization.

101011202222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243244 (or 243228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101011202222000 its reverse (222202110101), we get a palindrome (101233404332101).

The spelling of 101011202222000 in words is "one hundred one trillion, eleven billion, two hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 34583 69166 138332 172915 208631 242081 276664 345830 417262 484162 553328 691660 834524 864575 968324 1043155 1210405 1383320 1460417 1669048 1729150 1936648 2086310 2420810 2766640 2920834 3338096 3458300 3873296 4172620 4322875 4841620 5215775 5841668 6052025 6916600 7302085 8345240 8645750 9683240 10431550 11683336 12104050 13833200 14604170 16690480 17291500 19366480 20863100 23366672 24208100 26078875 29208340 30260125 34583000 36510425 41726200 48416200 52157750 58416680 60520250 69166000 73020850 83452400 96832400 104315500 116833360 121040500 146041700 182552125 208631000 242081000 292083400 365104250 417262000 484162000 584166800 730208500 1460417000 2920834000 7215085873 14430171746 28860343492 36075429365 50505601111 57720686984 72150858730 101011202222 115441373968 144301717460 180377146825 202022404444 252528005555 288603434920 360754293650 404044808888 505056011110 577206869840 721508587300 808089617776 901885734125 1010112022220 1262640027775 1443017174600 1803771468250 2020224044440 2525280055550 2886034349200 3607542936500 4040448088880 5050560111100 6313200138875 7215085873000 10101120222200 12626400277750 14430171746000 20202240444400 25252800555500 50505601111000 101011202222000