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1002000100020 = 2235236469112241
BaseRepresentation
bin11101001010010111101…
…11000010101010110100
310112210100002222000220120
432211023313002222310
5112404044011200040
62044151255331540
7132251332215303
oct16451367025264
93483302860816
101002000100020
11356a44a30717
1214223b980bb0
137364677958a
14366d5d2a43a
151b0e71487d0
hexe94bdc2ab4

1002000100020 has 96 divisors (see below), whose sum is σ = 2928061543680. Its totient is φ = 255540848640.

The previous prime is 1002000100019. The next prime is 1002000100027. The reversal of 1002000100020 is 200010002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1002000099981 and 1002000100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8871100 + ... + 8983340.

It is an arithmetic number, because the mean of its divisors is an integer number (30500641080).

Almost surely, 21002000100020 is an apocalyptic number.

1002000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000100020 is an abundant number, since it is smaller than the sum of its proper divisors (1926061443660).

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

1002000100020 is a wasteful number, since it uses less digits than its factorization.

1002000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118745 (or 118743 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1002000100020 its reverse (200010002001), we get a palindrome (1202010102021).

The spelling of 1002000100020 in words is "one trillion, two billion, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 6469 12938 19407 25876 32345 38814 64690 77628 97035 112241 129380 148787 194070 224482 297574 336723 388140 446361 448964 561205 595148 673446 743935 892722 1122410 1346892 1487870 1683615 1785444 2231805 2244820 2581543 2975740 3367230 4463610 5163086 6734460 7744629 8927220 10326172 12907715 15489258 25815430 30978516 38723145 51630860 77446290 154892580 726087029 1452174058 2178261087 2904348116 3630435145 4356522174 7260870290 8713044348 10891305435 14521740580 16700001667 21782610870 33400003334 43565221740 50100005001 66800006668 83500008335 100200010002 167000016670 200400020004 250500025005 334000033340 501000050010 1002000100020