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1013201100 = 2232525919081
BaseRepresentation
bin111100011001000…
…011100011001100
32121121111221121200
4330121003203030
54033334413400
6244312225500
734052032032
oct7431034314
92547457550
101013201100
1147aa1aa8a
1224339b290
13131bacaa2
14987c6552
155de3cb00
hex3c6438cc

1013201100 has 108 divisors (see below), whose sum is σ = 3229819320. Its totient is φ = 265593600.

The previous prime is 1013201099. The next prime is 1013201113. The reversal of 1013201100 is 11023101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 43560 + ... + 62640.

Almost surely, 21013201100 is an apocalyptic number.

1013201100 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 1013201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614909660).

1013201100 is an abundant number, since it is smaller than the sum of its proper divisors (2216618220).

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

1013201100 is a wasteful number, since it uses less digits than its factorization.

1013201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19160 (or 19150 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1013201100 is about 31830.8199705883. The cubic root of 1013201100 is about 1004.3811442109.

Adding to 1013201100 its reverse (11023101), we get a palindrome (1024224201).

The spelling of 1013201100 in words is "one billion, thirteen million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 885 900 1062 1180 1475 1770 2124 2655 2950 3540 4425 5310 5900 8850 10620 13275 17700 19081 26550 38162 53100 57243 76324 95405 114486 171729 190810 228972 286215 343458 381620 477025 572430 686916 858645 954050 1125779 1144860 1431075 1717290 1908100 2251558 2862150 3377337 3434580 4293225 4503116 5628895 5724300 6754674 8586450 10132011 11257790 13509348 16886685 17172900 20264022 22515580 28144475 33773370 40528044 50660055 56288950 67546740 84433425 101320110 112577900 168866850 202640220 253300275 337733700 506600550 1013201100