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103221144 = 233213217499
BaseRepresentation
bin1100010011100…
…00011110011000
321012020011210100
412021300132120
5202411034034
614124215400
72362236165
oct611603630
9235204710
10103221144
11532a1634
122a69a560
1318500a00
14d9cd06c
1590de099
hex6270798

103221144 has 144 divisors (see below), whose sum is σ = 321165000. Its totient is φ = 29832192.

The previous prime is 103221109. The next prime is 103221169. The reversal of 103221144 is 441122301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206607 + ... + 207105.

Almost surely, 2103221144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160582500).

103221144 is an abundant number, since it is smaller than the sum of its proper divisors (217943856).

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

103221144 is a wasteful number, since it uses less digits than its factorization.

103221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103221144 is about 10159.7807062948. The cubic root of 103221144 is about 469.0900517053.

Adding to 103221144 its reverse (441122301), we get a palindrome (544343445).

The spelling of 103221144 in words is "one hundred three million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 169 204 221 234 306 312 338 408 442 468 499 507 612 663 676 884 936 998 1014 1224 1326 1352 1497 1521 1768 1989 1996 2028 2652 2873 2994 3042 3978 3992 4056 4491 5304 5746 5988 6084 6487 7956 8483 8619 8982 11492 11976 12168 12974 15912 16966 17238 17964 19461 22984 25449 25857 25948 33932 34476 35928 38922 50898 51714 51896 58383 67864 68952 76347 77844 84331 101796 103428 110279 116766 152694 155688 168662 203592 206856 220558 233532 252993 305388 330837 337324 441116 467064 505986 610776 661674 674648 758979 882232 992511 1011972 1323348 1433627 1517958 1985022 2023944 2646696 2867254 3035916 3970044 4300881 5734508 6071832 7940088 8601762 11469016 12902643 17203524 25805286 34407048 51610572 103221144