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10001210010220 = 2251113712693697
BaseRepresentation
bin1001000110001001011010…
…0100011110101001101100
31022102002212112002010210201
42101202112210132221230
52302324434230311340
633134254211443244
72051364210304012
oct221422644365154
938362775063721
1010001210010220
113206542357670
121156374bb6524
13577157a460c0
142680bdb068b2
1512524b2a979a
hex9189691ea6c

10001210010220 has 144 divisors (see below), whose sum is σ = 25026770278944. Its totient is φ = 3309762355200.

The previous prime is 10001210010167. The next prime is 10001210010221. The reversal of 10001210010220 is 2201001210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001210010197 and 10001210010206.

It is not an unprimeable number, because it can be changed into a prime (10001210010221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14070412 + ... + 14764108.

It is an arithmetic number, because the mean of its divisors is an integer number (173797015826).

Almost surely, 210001210010220 is an apocalyptic number.

10001210010220 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 10001210010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513385139472).

10001210010220 is an abundant number, since it is smaller than the sum of its proper divisors (15025560268724).

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

10001210010220 is a wasteful number, since it uses less digits than its factorization.

10001210010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693872 (or 693799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001210010220 its reverse (2201001210001), we get a palindrome (12202211220221).

The spelling of 10001210010220 in words is "ten trillion, one billion, two hundred ten million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 130 142 143 220 260 284 286 355 572 710 715 781 923 1420 1430 1562 1846 2860 3124 3692 3905 4615 5041 7810 9230 10082 10153 15620 18460 20164 20306 25205 40612 50410 50765 55451 65533 100820 101530 110902 131066 203060 221804 262132 277255 327665 554510 655330 693697 720863 1109020 1310660 1387394 1441726 2774788 2883452 3468485 3604315 6936970 7208630 7630667 9018061 13873940 14417260 15261334 18036122 30522668 36072244 38153335 45090305 49252487 76306670 90180610 98504974 99198671 152613340 180361220 197009948 198397342 246262435 396794684 492524870 495993355 541777357 640282331 985049740 991986710 1083554714 1280564662 1983973420 2167109428 2561129324 2708886785 3201411655 3496926577 5417773570 6402823310 6993853154 7043105641 10835547140 12805646620 13987706308 14086211282 17484632885 28172422564 34969265770 35215528205 38466192347 45460045501 69938531540 70431056410 76932384694 90920091002 140862112820 153864769388 181840182004 192330961735 227300227505 384661923470 454600455010 500060500511 769323846940 909200910020 1000121001022 2000242002044 2500302502555 5000605005110 10001210010220