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10002101102220 = 2235414065894757
BaseRepresentation
bin1001000110001100101110…
…1011101110011010001100
31022102012011121211022020010
42101203023223232122030
52302333300340232340
633134522442553220
72051425250411613
oct221431353563214
938365147738203
1010002101102220
11320695a355237
121156583508810
1357726a540c86
142681661c487a
1512529e626b80
hex918cbaee68c

10002101102220 has 48 divisors (see below), whose sum is σ = 28688953412448. Its totient is φ = 2602172643840.

The previous prime is 10002101102209. The next prime is 10002101102221. The reversal of 10002101102220 is 2220110120001.

10002101102220 is digitally balanced in base 2, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002101102196 and 10002101102205.

It is not an unprimeable number, because it can be changed into a prime (10002101102221) 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, 2032944919 + ... + 2032949838.

It is an arithmetic number, because the mean of its divisors is an integer number (597686529426).

Almost surely, 210002101102220 is an apocalyptic number.

10002101102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002101102220 is an abundant number, since it is smaller than the sum of its proper divisors (18686852310228).

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

10002101102220 is a wasteful number, since it uses less digits than its factorization.

10002101102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065894810 (or 4065894808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002101102220 its reverse (2220110120001), we get a palindrome (12222211222221).

The spelling of 10002101102220 in words is "ten trillion, two billion, one hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4065894757 8131789514 12197684271 16263579028 20329473785 24395368542 40658947570 48790737084 60988421355 81317895140 121976842710 166701685037 243953685420 333403370074 500105055111 666806740148 833508425185 1000210110222 1667016850370 2000420220444 2500525275555 3334033700740 5001050551110 10002101102220