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10100010010020 = 2235767358920043
BaseRepresentation
bin1001001011111001011110…
…0000100100010110100100
31022202112220001201011020120
42102332113200210112210
52310434310030310040
633251514110401540
72061462443403450
oct222762740442644
938675801634216
1010100010010020
113244432386867
121171548b002b0
13583571a61248
1426cbb3637660
15127aceea87d0
hex92f978245a4

10100010010020 has 96 divisors (see below), whose sum is σ = 32802420661248. Its totient is φ = 2274117386112.

The previous prime is 10100010009983. The next prime is 10100010010021. The reversal of 10100010010020 is 2001001000101.

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 = 10100010009990 and 10100010010008.

It is not an unprimeable number, because it can be changed into a prime (10100010010021) 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, 179431882 + ... + 179488161.

It is an arithmetic number, because the mean of its divisors is an integer number (341691881888).

Almost surely, 210100010010020 is an apocalyptic number.

10100010010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010010020 is an abundant number, since it is smaller than the sum of its proper divisors (22702410651228).

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

10100010010020 is a wasteful number, since it uses less digits than its factorization.

10100010010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358920129 (or 358920127 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100010010020 its reverse (2001001000101), we get a palindrome (12101011010121).

The spelling of 10100010010020 in words is "ten trillion, one hundred billion, ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2814 4020 4690 5628 7035 9380 14070 28140 358920043 717840086 1076760129 1435680172 1794600215 2153520258 2512440301 3589200430 4307040516 5024880602 5383800645 7178400860 7537320903 10049761204 10767601290 12562201505 15074641806 21535202580 24047642881 25124403010 30149283612 37686604515 48095285762 50248806020 72142928643 75373209030 96190571524 120238214405 144285857286 150746418060 168333500167 240476428810 288571714572 336667000334 360714643215 480952857620 505000500501 673334000668 721429286430 841667500835 1010001001002 1442858572860 1683335001670 2020002002004 2525002502505 3366670003340 5050005005010 10100010010020