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1010000100 = 2235219374789
BaseRepresentation
bin111100001100110…
…110000011100100
32121101111022200010
4330030312003210
54032030000400
6244115450220
734012600464
oct7414660344
92541438603
101010000100
1147913402a
122422b6970
1313132bac5
14981d1ba4
155da09450
hex3c3360e4

1010000100 has 144 divisors (see below), whose sum is σ = 3159867200. Its totient is φ = 248209920.

The previous prime is 1010000083. The next prime is 1010000111. The reversal of 1010000100 is 10000101.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208506 + ... + 213294.

Almost surely, 21010000100 is an apocalyptic number.

1010000100 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 1010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579933600).

1010000100 is an abundant number, since it is smaller than the sum of its proper divisors (2149867100).

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

1010000100 is a wasteful number, since it uses less digits than its factorization.

1010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1010000100 is about 31780.4987374333. The cubic root of 1010000100 is about 1003.3223166550.

Adding to 1010000100 its reverse (10000101), we get a palindrome (1020000201).

Subtracting from 1010000100 its reverse (10000101), we obtain a palindrome (999999999).

The spelling of 1010000100 in words is "one billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1850 1900 2109 2220 2775 2812 2850 3515 3700 4218 4789 5550 5700 7030 8436 9578 10545 11100 14060 14367 17575 19156 21090 23945 28734 35150 42180 47890 52725 57468 70300 71835 90991 95780 105450 119725 143670 177193 181982 210900 239450 272973 287340 354386 359175 363964 454955 478900 531579 545946 708772 718350 885965 909910 1063158 1091892 1364865 1436700 1771930 1819820 2126316 2274775 2657895 2729730 3366667 3543860 4429825 4549550 5315790 5459460 6733334 6824325 8859650 9099100 10100001 10631580 13289475 13466668 13648650 16833335 17719300 20200002 26578950 27297300 33666670 40400004 50500005 53157900 67333340 84166675 101000010 168333350 202000020 252500025 336666700 505000050 1010000100