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103021416 = 23332389233
BaseRepresentation
bin1100010001111…
…11101101101000
321011212000211000
412020333231220
5202333141131
614120035000
72360444661
oct610775550
9234760730
10103021416
1153175573
122a602a60
1318460b24
14d97a368
15909ece6
hex623fb68

103021416 has 128 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 32338944.

The previous prime is 103021409. The next prime is 103021417. The reversal of 103021416 is 614120301.

It is a happy number.

It is a super-2 number, since 2×1030214162 = 21226824309290112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103021417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442036 + ... + 442268.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2103021416 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 103021416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

103021416 is an abundant number, since it is smaller than the sum of its proper divisors (200242584).

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

103021416 is a wasteful number, since it uses less digits than its factorization.

103021416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103021416 is about 10149.9466008448. The cubic root of 103021416 is about 468.7873007117.

Adding to 103021416 its reverse (614120301), we get a palindrome (717141717).

The spelling of 103021416 in words is "one hundred three million, twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 89 92 108 138 178 184 207 216 233 267 276 356 414 466 534 552 621 699 712 801 828 932 1068 1242 1398 1602 1656 1864 2047 2097 2136 2403 2484 2796 3204 4094 4194 4806 4968 5359 5592 6141 6291 6408 8188 8388 9612 10718 12282 12582 16077 16376 16776 18423 19224 20737 21436 24564 25164 32154 36846 41474 42872 48231 49128 50328 55269 62211 64308 73692 82948 96462 110538 124422 128616 144693 147384 165896 186633 192924 221076 248844 289386 373266 385848 442152 476951 497688 559899 578772 746532 953902 1119798 1157544 1430853 1493064 1907804 2239596 2861706 3815608 4292559 4479192 5723412 8585118 11446824 12877677 17170236 25755354 34340472 51510708 103021416