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10101201000220 = 2251161943179811
BaseRepresentation
bin1001001011111101111001…
…1111110101011100011100
31022202122222001202201122201
42102333132133311130130
52310444224424001340
633252232213421244
72061534114555211
oct222773637653434
938678861681581
1010101201000220
113244993699390
12117181b93a824
1358370171c785
1426cc8789db08
15127b4e81479a
hex92fde7f571c

10101201000220 has 96 divisors (see below), whose sum is σ = 23523081426432. Its totient is φ = 3612519840000.

The previous prime is 10101201000131. The next prime is 10101201000251. The reversal of 10101201000220 is 2200010210101.

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 = 10101201000197 and 10101201000206.

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, 126524115 + ... + 126603925.

It is an arithmetic number, because the mean of its divisors is an integer number (245032098192).

Almost surely, 210101201000220 is an apocalyptic number.

10101201000220 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 10101201000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761540713216).

10101201000220 is an abundant number, since it is smaller than the sum of its proper divisors (13421880426212).

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

10101201000220 is a wasteful number, since it uses less digits than its factorization.

10101201000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89323 (or 89321 counting only the distinct ones).

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

Adding to 10101201000220 its reverse (2200010210101), we get a palindrome (12301211210321).

The spelling of 10101201000220 in words is "ten trillion, one hundred one billion, two hundred one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 9431 13420 18862 37724 47155 79811 94310 103741 159622 188620 207482 319244 399055 414964 518705 575291 798110 877921 1037410 1150582 1596220 1755842 2074820 2301164 2876455 3511684 4389605 4868471 5752910 6328201 8779210 9736942 11505820 12656402 17558420 19473884 24342355 25312804 31641005 48684710 53553181 63282010 97369420 107106362 126564020 214212724 267765905 535531810 752697541 1071063620 1505395082 3010790164 3763487705 7526975410 8279672951 15053950820 16559345902 33118691804 41398364755 45914550001 82796729510 91829100002 165593459020 183658200004 229572750005 459145500010 505060050011 918291000020 1010120100022 2020240200044 2525300250055 5050600500110 10101201000220