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10210300100 = 225271113102001
BaseRepresentation
bin10011000001001010…
…01101000011000100
3222100120110222121222
421200211031003010
5131402314100400
64405054055512
7511010055530
oct114045150304
928316428558
1010210300100
11436a4a2650
121b8b4aa598
13c6943cac0
146cc066bc0
153eb59e185
hex26094d0c4

10210300100 has 144 divisors (see below), whose sum is σ = 29748679296. Its totient is φ = 2937600000.

The previous prime is 10210300073. The next prime is 10210300141. The reversal of 10210300100 is 100301201.

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, 49100 + ... + 151100.

Almost surely, 210210300100 is an apocalyptic number.

10210300100 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 10210300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874339648).

10210300100 is an abundant number, since it is smaller than the sum of its proper divisors (19538379196).

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

10210300100 is a wasteful number, since it uses less digits than its factorization.

10210300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102046 (or 102039 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10210300100 its reverse (100301201), we get a palindrome (10310601301).

The spelling of 10210300100 in words is "ten billion, two hundred ten million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 102001 204002 408004 510005 714007 1020010 1122011 1326013 1428014 2040020 2244022 2550025 2652026 2856028 3570035 4488044 5100050 5304052 5610055 6630065 7140070 7854077 9282091 10200100 11220110 13260130 14280140 14586143 15708154 17850175 18564182 22440220 26520260 28050275 29172286 31416308 33150325 35700350 37128364 39270385 46410455 56100550 58344572 66300650 71400700 72930715 78540770 92820910 102103001 112201100 132601300 145861430 157081540 185641820 196351925 204206002 232052275 291722860 364653575 392703850 408412004 464104550 510515005 729307150 785407700 928209100 1021030010 1458614300 2042060020 2552575025 5105150050 10210300100