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2100210010020 = 2232567877198571
BaseRepresentation
bin11110100011111110010…
…001011000011110100100
321102210000020122210210200
4132203332101120132210
5233402212230310040
64244453445150500
7304510106351463
oct36437621303644
97383006583720
102100210010020
1173a76a886591
1229b0500bb430
131230837243a5
147391777a9da
153997089c630
hex1e8fe4587a4

2100210010020 has 144 divisors (see below), whose sum is σ = 6473126307648. Its totient is φ = 551065109760.

The previous prime is 2100210009977. The next prime is 2100210010033. The reversal of 2100210010020 is 200100120012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100210009984 and 2100210010011.

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, 10477335 + ... + 10675905.

Almost surely, 22100210010020 is an apocalyptic number.

2100210010020 is a gapful number since it is divisible by the number (20) 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 2100210010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236563153824).

2100210010020 is an abundant number, since it is smaller than the sum of its proper divisors (4372916297628).

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

2100210010020 is a wasteful number, since it uses less digits than its factorization.

2100210010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199530 (or 199525 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100210010020 its reverse (200100120012), we get a palindrome (2300310130032).

The spelling of 2100210010020 in words is "two trillion, one hundred billion, two hundred ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 877 1005 1206 1340 1754 2010 2412 2631 3015 3508 4020 4385 5262 6030 7893 8770 10524 12060 13155 15786 17540 26310 31572 39465 52620 58759 78930 117518 157860 176277 198571 235036 293795 352554 397142 528831 587590 595713 705108 794284 881385 992855 1057662 1175180 1191426 1762770 1787139 1985710 2115324 2382852 2644155 2978565 3525540 3574278 3971420 5288310 5957130 7148556 8935695 10576620 11914260 13304257 17871390 26608514 35742780 39912771 53217028 66521285 79825542 119738313 133042570 159651084 174146767 199563855 239476626 266085140 348293534 399127710 478953252 522440301 598691565 696587068 798255420 870733835 1044880602 1197383130 1567320903 1741467670 2089761204 2394766260 2612201505 3134641806 3482935340 5224403010 6269283612 7836604515 10448806020 11667833389 15673209030 23335666778 31346418060 35003500167 46671333556 58339166945 70007000334 105010500501 116678333890 140014000668 175017500835 210021001002 233356667780 350035001670 420042002004 525052502505 700070003340 1050105005010 2100210010020