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21060071100 = 223252123119009
BaseRepresentation
bin10011100111010001…
…110010111010111100
32000100201020110102100
4103213101302322330
5321112334233400
613401434225100
71343613436125
oct234721627274
960321213370
1021060071100
118a27952142
1240b8b85190
131ca81b8243
14103adcd04c
15833d66100
hex4e7472ebc

21060071100 has 108 divisors (see below), whose sum is σ = 66068722720. Its totient is φ = 5611161600.

The previous prime is 21060071077. The next prime is 21060071101. The reversal of 21060071100 is 117006012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21060071101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1098396 + ... + 1117404.

Almost surely, 221060071100 is an apocalyptic number.

21060071100 is a gapful number since it is divisible by the number (20) 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 21060071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33034361360).

21060071100 is an abundant number, since it is smaller than the sum of its proper divisors (45008651620).

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

21060071100 is a wasteful number, since it uses less digits than its factorization.

21060071100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20260 (or 20250 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 21060071100 its reverse (117006012), we get a palindrome (21177077112).

The spelling of 21060071100 in words is "twenty-one billion, sixty million, seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1231 2462 3693 4924 6155 7386 11079 12310 14772 18465 19009 22158 24620 30775 36930 38018 44316 55395 57027 61550 73860 76036 92325 95045 110790 114054 123100 171081 184650 190090 221580 228108 276975 285135 342162 369300 380180 475225 553950 570270 684324 855405 950450 1107900 1140540 1425675 1710810 1900900 2851350 3421620 4277025 5702700 8554050 17108100 23400079 46800158 70200237 93600316 117000395 140400474 210600711 234000790 280800948 351001185 421201422 468001580 585001975 702002370 842402844 1053003555 1170003950 1404004740 1755005925 2106007110 2340007900 3510011850 4212014220 5265017775 7020023700 10530035550 21060071100