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1010420100 = 2232524723887
BaseRepresentation
bin111100001110011…
…100100110000100
32121102021122210200
4330032130212010
54032131420400
6244132450500
734016300124
oct7416344604
92542248720
101010420100
114793a0638
12242479a30
13131448021
14982a0c84
155da8db00
hex3c39c984

1010420100 has 108 divisors (see below), whose sum is σ = 3234626304. Its totient is φ = 263701440.

The previous prime is 1010420077. The next prime is 1010420101. The reversal of 1010420100 is 10240101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010420101) 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, 30357 + ... + 54243.

Almost surely, 21010420100 is an apocalyptic number.

1010420100 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 1010420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617313152).

1010420100 is an abundant number, since it is smaller than the sum of its proper divisors (2224206204).

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

1010420100 is a wasteful number, since it uses less digits than its factorization.

1010420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23954 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1010420100 is about 31787.1058764399. The cubic root of 1010420100 is about 1003.4613717486.

Adding to 1010420100 its reverse (10240101), we get a palindrome (1020660201).

The spelling of 1010420100 in words is "one billion, ten million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 23887 42300 47774 71661 95548 119435 143322 214983 238870 286644 358305 429966 477740 597175 716610 859932 1074915 1122689 1194350 1433220 1791525 2149830 2245378 2388700 3368067 3583050 4299660 4490756 5374575 5613445 6736134 7166100 10104201 10749150 11226890 13472268 16840335 20208402 21498300 22453780 28067225 33680670 40416804 50521005 56134450 67361340 84201675 101042010 112268900 168403350 202084020 252605025 336806700 505210050 1010420100