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10020300200120 = 2357751208922811
BaseRepresentation
bin1001000111010000100001…
…1011110001100010111000
31022110221010221122021020002
42101310020123301202320
52303133033322400440
633151132400452132
72052641244243230
oct221641033614270
938427127567202
1010020300200120
113213649263911
12115a00231a048
13578baaaa1062
14268db123acc0
151259b720c115
hex91d086f18b8

10020300200120 has 128 divisors (see below), whose sum is σ = 25814278195200. Its totient is φ = 3429164160000.

The previous prime is 10020300200111. The next prime is 10020300200147. The reversal of 10020300200120 is 2100200302001.

It is a happy number.

It is a super-2 number, since 2×100203002001202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439263515 + ... + 439286325.

It is an arithmetic number, because the mean of its divisors is an integer number (201674048400).

Almost surely, 210020300200120 is an apocalyptic number.

10020300200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020300200120 is an abundant number, since it is smaller than the sum of its proper divisors (15793977995080).

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

10020300200120 is a wasteful number, since it uses less digits than its factorization.

10020300200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25669 (or 25665 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10020300200120 its reverse (2100200302001), we get a palindrome (12120500502121).

The spelling of 10020300200120 in words is "ten trillion, twenty billion, three hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 751 1502 2089 3004 3755 4178 5257 6008 7510 8356 10445 10514 14623 15020 16712 20890 21028 22811 26285 29246 30040 41780 42056 45622 52570 58492 73115 83560 91244 105140 114055 116984 146230 159677 182488 210280 228110 292460 319354 456220 584920 638708 798385 912440 1277416 1568839 1596770 3137678 3193540 6275356 6387080 7844195 10981873 12550712 15688390 17131061 21963746 31376780 34262122 43927492 47652179 54909365 62753560 68524244 85655305 87854984 95304358 109818730 119917427 137048488 171310610 190608716 219637460 238260895 239834854 333565253 342621220 381217432 439274920 476521790 479669708 599587135 667130506 685242440 953043580 959339416 1199174270 1334261012 1667826265 1906087160 2398348540 2668522024 3335652530 4796697080 6671305060 13342610120 35786786429 71573572858 143147145716 178933932145 250507505003 286294291432 357867864290 501015010006 715735728580 1002030020012 1252537525015 1431471457160 2004060040024 2505075050030 5010150100060 10020300200120