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1101201000200 = 2352721011112549
BaseRepresentation
bin10000000001100100101…
…100011100011100001000
310220021101120221220021122
4100001210230130130020
5121020224424001300
62201515035054412
7142362534026600
oct20014454343410
93807346856248
101101201000200
11395020290244
12159505ba1408
137cac585ca92
143b426bb7c00
151d9a1137c85
hex10064b1c708

1101201000200 has 144 divisors (see below), whose sum is σ = 3007790050500. Its totient is φ = 373816128000.

The previous prime is 1101201000199. The next prime is 1101201000217. The reversal of 1101201000200 is 20001021011.

It can be written as a sum of positive squares in 6 ways, for example, as 734418148324 + 366782851876 = 856982^2 + 605626^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 433526 + ... + 1546074.

Almost surely, 21101201000200 is an apocalyptic number.

1101201000200 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 1101201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503895025250).

1101201000200 is an abundant number, since it is smaller than the sum of its proper divisors (1906589050300).

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

1101201000200 is a wasteful number, since it uses less digits than its factorization.

1101201000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112680 (or 1112664 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1101201000200 its reverse (20001021011), we get a palindrome (1121202021211).

The spelling of 1101201000200 in words is "one trillion, one hundred one billion, two hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 101 140 175 196 200 202 245 280 350 392 404 490 505 700 707 808 980 1010 1225 1400 1414 1960 2020 2450 2525 2828 3535 4040 4900 4949 5050 5656 7070 9800 9898 10100 14140 17675 19796 20200 24745 28280 35350 39592 49490 70700 98980 123725 141400 197960 247450 494900 989800 1112549 2225098 4450196 5562745 7787843 8900392 11125490 15575686 22250980 27813725 31151372 38939215 44501960 54514901 55627450 62302744 77878430 109029802 111254900 112367449 155756860 194696075 218059604 222509800 224734898 272574505 311513720 389392150 436119208 449469796 545149010 561837245 778784300 786572143 898939592 1090298020 1123674490 1362872525 1557568600 1573144286 2180596040 2247348980 2725745050 2809186225 3146288572 3932860715 4494697960 5451490100 5506005001 5618372450 6292577144 7865721430 10902980200 11012010002 11236744900 15731442860 19664303575 22024020004 22473489800 27530025005 31462885720 39328607150 44048040008 55060050010 78657214300 110120100020 137650125025 157314428600 220240200040 275300250050 550600500100 1101201000200