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10022001011120 = 24573365233273
BaseRepresentation
bin1001000111010110110111…
…0011110110100110110000
31022111002112111000102022002
42101311231303312212300
52303200024224323440
633152013235033132
72053031346014000
oct221655563664660
938432474012262
1010022001011120
11321434133033a
12115a3b7a3b7a8
135790bc2727b7
142690d3094000
15125a666c1115
hex91d6dcf69b0

10022001011120 has 80 divisors (see below), whose sum is σ = 27173355585600. Its totient is φ = 3436114622976.

The previous prime is 10022001011119. The next prime is 10022001011129. The reversal of 10022001011120 is 2111010022001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10022001011129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182589197 + ... + 182644076.

It is an arithmetic number, because the mean of its divisors is an integer number (339666944820).

Almost surely, 210022001011120 is an apocalyptic number.

10022001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022001011120 is an abundant number, since it is smaller than the sum of its proper divisors (17151354574480).

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

10022001011120 is an equidigital number, since it uses as much as digits as its factorization.

10022001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365233307 (or 365233287 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10022001011120 its reverse (2111010022001), we get a palindrome (12133011033121).

The spelling of 10022001011120 in words is "ten trillion, twenty-two billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 365233273 730466546 1460933092 1826166365 2556632911 2921866184 3652332730 5113265822 5843732368 7304665460 10226531644 12783164555 14609330920 17896430377 20453063288 25566329110 29218661840 35792860754 40906126576 51132658220 71585721508 89482151885 102265316440 125275012639 143171443016 178964303770 204530632880 250550025278 286342886032 357928607540 501100050556 626375063195 715857215080 1002200101112 1252750126390 1431714430160 2004400202224 2505500252780 5011000505560 10022001011120