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10022210010100 = 22521731190174763
BaseRepresentation
bin1001000111010111101001…
…0001000111101111110100
31022111010002001021200000001
42101311322101013233310
52303200441230310400
633152050102401044
72053036464331321
oct221657221075764
938433061250001
1010022210010100
1132144392aa372
12115a455a30184
1357912365ab32
14269112b39b48
15125a79c06a6a
hex91d7a447bf4

10022210010100 has 72 divisors (see below), whose sum is σ = 23770324101888. Its totient is φ = 3651355430400.

The previous prime is 10022210010089. The next prime is 10022210010119. The reversal of 10022210010100 is 101001222001.

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

It is a congruent number.

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, 95034682 + ... + 95140081.

It is an arithmetic number, because the mean of its divisors is an integer number (330143390304).

Almost surely, 210022210010100 is an apocalyptic number.

10022210010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022210010100 is an abundant number, since it is smaller than the sum of its proper divisors (13748114091788).

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

10022210010100 is a wasteful number, since it uses less digits than its factorization.

10022210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190174825 (or 190174818 counting only the distinct ones).

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

Adding to 10022210010100 its reverse (101001222001), we get a palindrome (10123211232101).

The spelling of 10022210010100 in words is "ten trillion, twenty-two billion, two hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 5270 10540 13175 26350 52700 190174763 380349526 760699052 950873815 1901747630 3232970971 3803495260 4754369075 5895417653 6465941942 9508738150 11790835306 12931883884 16164854855 19017476300 23581670612 29477088265 32329709710 58954176530 64659419420 80824274275 100222100101 117908353060 147385441325 161648548550 200444200202 294770882650 323297097100 400888400404 501110500505 589541765300 1002221001010 2004442002020 2505552502525 5011105005050 10022210010100