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1040020100 = 2252721911171
BaseRepresentation
bin111101111111010…
…111001010000100
32200110222111100222
4331333113022010
54112221120400
6251111123512
734526011400
oct7577271204
92613874328
101040020100
11494078549
12250373598
1313760cc12
149c1a8100
1561489185
hex3dfd7284

1040020100 has 108 divisors (see below), whose sum is σ = 2763729360. Its totient is φ = 337780800.

The previous prime is 1040020073. The next prime is 1040020109. The reversal of 1040020100 is 10200401.

It is not an unprimeable number, because it can be changed into a prime (1040020109) 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, 87515 + ... + 98685.

Almost surely, 21040020100 is an apocalyptic number.

1040020100 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 1040020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381864680).

1040020100 is an abundant number, since it is smaller than the sum of its proper divisors (1723709260).

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

1040020100 is a wasteful number, since it uses less digits than its factorization.

1040020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11204 counting only the distinct ones).

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

The square root of 1040020100 is about 32249.3426289591. The cubic root of 1040020100 is about 1013.1659308627.

Adding to 1040020100 its reverse (10200401), we get a palindrome (1050220501).

The spelling of 1040020100 in words is "one billion, forty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 350 380 475 490 532 665 700 931 950 980 1225 1330 1862 1900 2450 2660 3325 3724 4655 4900 6650 9310 11171 13300 18620 22342 23275 44684 46550 55855 78197 93100 111710 156394 212249 223420 279275 312788 390985 424498 547379 558550 781970 848996 1061245 1094758 1117100 1485743 1563940 1954925 2122490 2189516 2736895 2971486 3909850 4244980 5306225 5473790 5942972 7428715 7819700 10400201 10612450 10947580 13684475 14857430 20800402 21224900 27368950 29714860 37143575 41600804 52001005 54737900 74287150 104002010 148574300 208004020 260005025 520010050 1040020100