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10022000101120 = 28571975677801
BaseRepresentation
bin1001000111010110110111…
…0000011000011100000000
31022111002112102022012000101
42101311231300120130000
52303200024011213440
633152013203332144
72053031335203640
oct221655560303400
938432472265011
1010022000101120
113214340869677
12115a3b7681054
135790bc014537
142690d2cd8520
15125a6659169a
hex91d6dc18700

10022000101120 has 144 divisors (see below), whose sum is σ = 27574495236288. Its totient is φ = 3418671513600.

The previous prime is 10022000101117. The next prime is 10022000101153. The reversal of 10022000101120 is 2110100022001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10022000101097 and 10022000101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073781 + ... + 4604020.

It is an arithmetic number, because the mean of its divisors is an integer number (191489550252).

Almost surely, 210022000101120 is an apocalyptic number.

10022000101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022000101120 is an abundant number, since it is smaller than the sum of its proper divisors (17552495135168).

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

10022000101120 is an equidigital number, since it uses as much as digits as its factorization.

10022000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678026 (or 5678012 counting only the distinct ones).

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

Adding to 10022000101120 its reverse (2110100022001), we get a palindrome (12132100123121).

The spelling of 10022000101120 in words is "ten trillion, twenty-two billion, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 197 224 256 280 320 394 448 560 640 788 896 985 1120 1280 1379 1576 1792 1970 2240 2758 3152 3940 4480 5516 6304 6895 7880 8960 11032 12608 13790 15760 22064 25216 27580 31520 44128 50432 55160 63040 88256 110320 126080 176512 220640 252160 353024 441280 882560 1765120 5677801 11355602 22711204 28389005 39744607 45422408 56778010 79489214 90844816 113556020 158978428 181689632 198723035 227112040 317956856 363379264 397446070 454224080 635913712 726758528 794892140 908448160 1118526797 1271827424 1453517056 1589784280 1816896320 2237053594 2543654848 3179568560 3633792640 4474107188 5087309696 5592633985 6359137120 7267585280 7829687579 8948214376 10174619392 11185267970 12718274240 15659375158 17896428752 22370535940 25436548480 31318750316 35792857504 39148437895 44741071880 50873096960 62637500632 71585715008 78296875790 89482143760 125275001264 143171430016 156593751580 178964287520 250550002528 286342860032 313187503160 357928575040 501100005056 626375006320 715857150080 1002200010112 1252750012640 1431714300160 2004400020224 2505500025280 5011000050560 10022000101120