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101004228 = 2232131937307
BaseRepresentation
bin1100000010100…
…11001111000100
321001001112202100
412001103033010
5201324113403
614004512100
72334343653
oct601231704
9231045670
10101004228
1152017a76
12299ab630
1317c05920
14d5b319a
158d022a3
hex60533c4

101004228 has 144 divisors (see below), whose sum is σ = 298217920. Its totient is φ = 28553472.

The previous prime is 101004221. The next prime is 101004229. The reversal of 101004228 is 822400101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101004228.

It is not an unprimeable number, because it can be changed into a prime (101004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328851 + ... + 329157.

Almost surely, 2101004228 is an apocalyptic number.

101004228 is a gapful number since it is divisible by the number (18) 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 101004228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149108960).

101004228 is an abundant number, since it is smaller than the sum of its proper divisors (197213692).

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

101004228 is a wasteful number, since it uses less digits than its factorization.

101004228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101004228 is about 10050.0859697816. The cubic root of 101004228 is about 465.7074489855.

Adding to 101004228 its reverse (822400101), we get a palindrome (923404329).

The spelling of 101004228 in words is "one hundred one million, four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 37 38 39 52 57 74 76 78 111 114 117 148 156 171 222 228 234 247 307 333 342 444 468 481 494 614 666 684 703 741 921 962 988 1228 1332 1406 1443 1482 1842 1924 2109 2223 2763 2812 2886 2964 3684 3991 4218 4329 4446 5526 5772 5833 6327 7982 8436 8658 8892 9139 11052 11359 11666 11973 12654 15964 17316 17499 18278 22718 23332 23946 25308 27417 34077 34998 35919 36556 45436 47892 52497 54834 68154 69996 71838 75829 82251 102231 104994 109668 136308 143676 147667 151658 164502 204462 209988 215821 227487 295334 303316 329004 408924 431642 443001 454974 590668 647463 682461 863284 886002 909948 1294926 1329003 1364922 1772004 1942389 2589852 2658006 2729844 2805673 3884778 5316012 5611346 7769556 8417019 11222692 16834038 25251057 33668076 50502114 101004228