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100021020 = 223511223599
BaseRepresentation
bin1011111011000…
…11001100011100
320222012121001020
411331203030130
5201101133040
613531444140
72323110321
oct575431434
9228177036
10100021020
1151506300
12295b6650
1317950248
14d3d8b48
158baacd0
hex5f6331c

100021020 has 144 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 23154560.

The previous prime is 100021003. The next prime is 100021039. The reversal of 100021020 is 20120001.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166681 + ... + 167279.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2100021020 is an apocalyptic number.

100021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

100021020 is an abundant number, since it is smaller than the sum of its proper divisors (221732580).

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

100021020 is a wasteful number, since it uses less digits than its factorization.

100021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 643 counting only the distinct ones).

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

The square root of 100021020 is about 10001.0509447758. The cubic root of 100021020 is about 464.1914031486.

Adding to 100021020 its reverse (20120001), we get a palindrome (120141021).

The spelling of 100021020 in words is "one hundred million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 599 605 660 690 726 759 1012 1198 1210 1265 1380 1452 1518 1797 1815 2396 2420 2530 2783 2995 3036 3594 3630 3795 5060 5566 5990 6589 7188 7260 7590 8349 8985 11132 11980 13178 13777 13915 15180 16698 17970 19767 26356 27554 27830 32945 33396 35940 39534 41331 41745 55108 55660 65890 68885 72479 79068 82662 83490 98835 131780 137770 144958 151547 165324 166980 197670 206655 217437 275540 289916 303094 362395 395340 413310 434874 454641 606188 724790 757735 826620 869748 909282 1087185 1449580 1515470 1667017 1818564 2174370 2273205 3030940 3334034 4348740 4546410 5001051 6668068 8335085 9092820 10002102 16670170 20004204 25005255 33340340 50010510 100021020