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10012200103320 = 2335412393850397
BaseRepresentation
bin1001000110110010010110…
…1000010110110110011000
31022110011020102212201022220
42101230211220112312120
52303014441211301240
633143312523344040
72052233436455532
oct221544550266630
938404212781286
1010012200103320
113210171a39238
121158521682020
135781b98b237c
14268843558852
1512569103d5d0
hex91b25a16d98

10012200103320 has 128 divisors (see below), whose sum is σ = 30782094517440. Its totient is φ = 2603708456960.

The previous prime is 10012200103319. The next prime is 10012200103331. The reversal of 10012200103320 is 2330100221001.

It is a super-3 number, since 3×100122001033203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012200103320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11348362 + ... + 12198758.

Almost surely, 210012200103320 is an apocalyptic number.

10012200103320 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 10012200103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391047258720).

10012200103320 is an abundant number, since it is smaller than the sum of its proper divisors (20769894414120).

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

10012200103320 is a wasteful number, since it uses less digits than its factorization.

10012200103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852845 (or 852841 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10012200103320 its reverse (2330100221001), we get a palindrome (12342300324321).

The spelling of 10012200103320 in words is "ten trillion, twelve billion, two hundred million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2393 2460 4786 4920 7179 9572 11965 14358 19144 23930 28716 35895 47860 57432 71790 95720 98113 143580 196226 287160 294339 392452 490565 588678 784904 850397 981130 1177356 1471695 1700794 1962260 2354712 2551191 2943390 3401588 3924520 4251985 5102382 5886780 6803176 8503970 10204764 11773560 12755955 17007940 20409528 25511910 34015880 34866277 51023820 69732554 102047640 104598831 139465108 174331385 209197662 278930216 348662770 418395324 522994155 697325540 836790648 1045988310 1394651080 2035000021 2091976620 4070000042 4183953240 6105000063 8140000084 10175000105 12210000126 16280000168 20350000210 24420000252 30525000315 40700000420 48840000504 61050000630 81400000840 83435000861 122100001260 166870001722 244200002520 250305002583 333740003444 417175004305 500610005166 667480006888 834350008610 1001220010332 1251525012915 1668700017220 2002440020664 2503050025830 3337400034440 5006100051660 10012200103320