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101201100330 = 235112139200569
BaseRepresentation
bin101111001000000001…
…1100011111000101010
3100200012212201120011010
41132100003203320222
53124224440202310
6114254030444350
710211600105511
oct1362003437052
9320185646133
10101201100330
1139a12423600
12177440636b6
13970a5ca9b5
144c80799678
1529748e1320
hex17900e3e2a

101201100330 has 96 divisors (see below), whose sum is σ = 268892164800. Its totient is φ = 24356977920.

The previous prime is 101201100311. The next prime is 101201100353. The reversal of 101201100330 is 33001102101.

It is a super-2 number, since 2×1012011003302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404286 + ... + 604854.

It is an arithmetic number, because the mean of its divisors is an integer number (2800960050).

Almost surely, 2101201100330 is an apocalyptic number.

101201100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134446082400).

101201100330 is an abundant number, since it is smaller than the sum of its proper divisors (167691064470).

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

101201100330 is a wasteful number, since it uses less digits than its factorization.

101201100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200740 (or 200729 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101201100330 its reverse (33001102101), we get a palindrome (134202202431).

The spelling of 101201100330 in words is "one hundred one billion, two hundred one million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 139 165 242 278 330 363 417 605 695 726 834 1210 1390 1529 1815 2085 3058 3630 4170 4587 7645 9174 15290 16819 22935 33638 45870 50457 84095 100914 168190 200569 252285 401138 504570 601707 1002845 1203414 2005690 2206259 3008535 4412518 6017070 6618777 11031295 13237554 22062590 24268849 27879091 33093885 48537698 55758182 66187770 72806547 83637273 121344245 139395455 145613094 167274546 242688490 278790910 306670001 364032735 418186365 613340002 728065470 836372730 920010003 1533350005 1840020006 3066700010 3373370011 4600050015 6746740022 9200100030 10120110033 16866850055 20240220066 33733700110 50600550165 101201100330