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1010100220 = 2251761113431
BaseRepresentation
bin111100001101001…
…110011111111100
32121101200102000021
4330031032133330
54032041201340
6244121541524
734013465413
oct7415163774
92541612007
101010100220
114791a2278
122423448a4
1313136554c
149821a47a
155da28e4a
hex3c34e7fc

1010100220 has 96 divisors (see below), whose sum is σ = 2308352256. Its totient is φ = 369868800.

The previous prime is 1010100199. The next prime is 1010100317. The reversal of 1010100220 is 220010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2343405 + ... + 2343835.

It is an arithmetic number, because the mean of its divisors is an integer number (24045336).

Almost surely, 21010100220 is an apocalyptic number.

1010100220 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 1010100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154176128).

1010100220 is an abundant number, since it is smaller than the sum of its proper divisors (1298252036).

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

1010100220 is a wasteful number, since it uses less digits than its factorization.

1010100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1010100220 is about 31782.0738782100. The cubic root of 1010100220 is about 1003.3554682396.

Adding to 1010100220 its reverse (220010101), we get a palindrome (1230110321).

The spelling of 1010100220 in words is "one billion, ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 113 122 170 226 244 305 340 431 452 565 610 862 1037 1130 1220 1724 1921 2074 2155 2260 3842 4148 4310 5185 6893 7327 7684 8620 9605 10370 13786 14654 19210 20740 26291 27572 29308 34465 36635 38420 48703 52582 68930 73270 97406 105164 117181 131455 137860 146540 194812 234362 243515 262910 446947 468724 487030 525820 585905 827951 893894 974060 1171810 1655902 1787788 2234735 2343620 2970883 3311804 4139755 4469470 5941766 8279510 8938940 11883532 14854415 16559020 29708830 50505011 59417660 101010022 202020044 252525055 505050110 1010100220