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10020200100020 = 22511292339967121
BaseRepresentation
bin1001000111010000001001…
…1101111011000010110100
31022110220212222021122200222
42101310002131323002310
52303132332211200040
633151114423153512
72052635620353215
oct221640235730264
938426788248628
1010020200100020
1132135a7804160
121159b948a5898
13578b93123b26
14268da1c2140c
151259ad537bb5
hex91d0277b0b4

10020200100020 has 96 divisors (see below), whose sum is σ = 23748300576000. Its totient is φ = 3517861222400.

The previous prime is 10020200100019. The next prime is 10020200100089. The reversal of 10020200100020 is 2000100202001.

It is a junction number, because it is equal to n+sod(n) for n = 10020200099980 and 10020200100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149252060 + ... + 149319180.

It is an arithmetic number, because the mean of its divisors is an integer number (247378131000).

Almost surely, 210020200100020 is an apocalyptic number.

10020200100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020200100020 is an abundant number, since it is smaller than the sum of its proper divisors (13728100475980).

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

10020200100020 is a wasteful number, since it uses less digits than its factorization.

10020200100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90569 (or 90567 counting only the distinct ones).

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

Adding to 10020200100020 its reverse (2000100202001), we get a palindrome (12020300302021).

The spelling of 10020200100020 in words is "ten trillion, twenty billion, two hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 23399 46798 67121 93596 116995 134242 233990 257389 268484 335605 467980 514778 671210 678571 738331 1029556 1286945 1342420 1357142 1476662 1946509 2573890 2714284 2953324 3392855 3691655 3893018 5147780 6785710 7383310 7464281 7786036 9732545 13571420 14766620 14928562 19465090 21411599 29857124 37321405 38930180 42823198 74642810 85646396 107057995 149285620 214115990 428231980 1570564279 3141128558 6282257116 7852821395 15705642790 17276207069 31411285580 34552414138 45546364091 69104828276 86381035345 91092728182 172762070690 182185456364 227731820455 345524141380 455463640910 501010005001 910927281820 1002020010002 2004040020004 2505050025005 5010100050010 10020200100020