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10022202121100 = 22521315749104371
BaseRepresentation
bin1001000111010111100111…
…0011000001101110001100
31022111010001111102212022212
42101311321303001232030
52303200432220333400
633152045221325552
72053036340303321
oct221657163015614
938433044385285
1010022202121100
113214434901234
12115a4532668b8
13579121b280a0
14269111a84b48
15125a79199335
hex91d79cc1b8c

10022202121100 has 72 divisors (see below), whose sum is σ = 23570294977488. Its totient is φ = 3676935225600.

The previous prime is 10022202121079. The next prime is 10022202121103. The reversal of 10022202121100 is 112120222001.

10022202121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10022202121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24348086 + ... + 24756285.

Almost surely, 210022202121100 is an apocalyptic number.

10022202121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022202121100 is an abundant number, since it is smaller than the sum of its proper divisors (13548092856388).

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

10022202121100 is a wasteful number, since it uses less digits than its factorization.

10022202121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49104555 (or 49104548 counting only the distinct ones).

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

Adding to 10022202121100 its reverse (112120222001), we get a palindrome (10134322343101).

The spelling of 10022202121100 in words is "ten trillion, twenty-two billion, two hundred two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 7850 8164 10205 15700 20410 40820 51025 102050 204100 49104371 98208742 196417484 245521855 491043710 638356823 982087420 1227609275 1276713646 2455218550 2553427292 3191784115 4910437100 6383568230 7709386247 12767136460 15418772494 15958920575 30837544988 31917841150 38546931235 63835682300 77093862470 100222021211 154187724940 192734656175 200444042422 385469312350 400888084844 501110106055 770938624700 1002220212110 2004440424220 2505550530275 5011101060550 10022202121100