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1045505100 = 2235217297069
BaseRepresentation
bin111110010100010…
…010010001001100
32200212022011101010
4332110102101030
54120122130400
6251424445220
734623434553
oct7624222114
92625264333
101045505100
11497184502
12252179810
131387b0693
149cbd4d9a
1561bbe450
hex3e51244c

1045505100 has 144 divisors (see below), whose sum is σ = 3313850400. Its totient is φ = 253317120.

The previous prime is 1045505099. The next prime is 1045505107. The reversal of 1045505100 is 15055401.

It is not an unprimeable number, because it can be changed into a prime (1045505107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144366 + ... + 151434.

It is an arithmetic number, because the mean of its divisors is an integer number (23012850).

Almost surely, 21045505100 is an apocalyptic number.

1045505100 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 1045505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656925200).

1045505100 is an abundant number, since it is smaller than the sum of its proper divisors (2268345300).

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

1045505100 is a wasteful number, since it uses less digits than its factorization.

1045505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1045505100 is about 32334.2712922373. The cubic root of 1045505100 is about 1014.9439330982.

The spelling of 1045505100 in words is "one billion, forty-five million, five hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 986 1020 1275 1450 1479 1700 1740 1972 2175 2465 2550 2900 2958 4350 4930 5100 5916 7069 7395 8700 9860 12325 14138 14790 21207 24650 28276 29580 35345 36975 42414 49300 70690 73950 84828 106035 120173 141380 147900 176725 205001 212070 240346 353450 360519 410002 424140 480692 530175 600865 615003 706900 721038 820004 1025005 1060350 1201730 1230006 1442076 1802595 2050010 2120700 2403460 2460012 3004325 3075015 3485017 3605190 4100020 5125025 6008650 6150030 6970034 7210380 9012975 10250050 10455051 12017300 12300060 13940068 15375075 17425085 18025950 20500100 20910102 30750150 34850170 36051900 41820204 52275255 61500300 69700340 87125425 104550510 174250850 209101020 261376275 348501700 522752550 1045505100