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1100020010100 = 2235211437752079
BaseRepresentation
bin10000000000011110010…
…011010100110001110100
310220011100021201101102120
4100000132103110301310
5121010320110310400
62201201530235540
7142321343545014
oct20003623246164
93804307641376
101100020010100
11394574688970
12159236585bb0
137c967c9317b
143b353dd5c44
151d932604ca0
hex1001e4d4c74

1100020010100 has 144 divisors (see below), whose sum is σ = 3552809272320. Its totient is φ = 260469820800.

The previous prime is 1100020010077. The next prime is 1100020010107. The reversal of 1100020010100 is 10100200011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100020010107) 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, 3734140 + ... + 4017939.

Almost surely, 21100020010100 is an apocalyptic number.

1100020010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100020010100 is an abundant number, since it is smaller than the sum of its proper divisors (2452789262220).

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

1100020010100 is a wasteful number, since it uses less digits than its factorization.

1100020010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752150 (or 7752143 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100020010100 its reverse (10100200011), we get a palindrome (1110120210111).

The spelling of 1100020010100 in words is "one trillion, one hundred billion, twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 141900 7752079 15504158 23256237 31008316 38760395 46512474 77520790 85272869 93024948 116281185 155041580 170545738 193801975 232562370 255818607 333339397 341091476 387603950 426364345 465124740 511637214 581405925 666678794 775207900 852728690 1000018191 1023274428 1162811850 1279093035 1333357588 1666696985 1705457380 2000036382 2131821725 2325623700 2558186070 3333393970 3666733367 4000072764 4263643450 5000090955 5116372140 6395465175 6666787940 7333466734 8333484925 8527286900 10000181910 11000200101 12790930350 14666933468 16666969850 18333666835 20000363820 22000400202 25000454775 25581860700 33333939700 36667333670 44000800404 50000909550 55001000505 73334667340 91668334175 100001819100 110002001010 183336668350 220004002020 275005002525 366673336700 550010005050 1100020010100