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10103212054416 = 24313192833011167
BaseRepresentation
bin1001001100000101011001…
…0111011001011110010000
31022202212011012220212101110
42103001112113121132100
52311012334241220131
633253203533333320
72061635004340035
oct223012627313620
938685135825343
1010103212054416
1132458258a6148
1211720a1337240
13583962267480
1426cdd89d538c
15127c1b15c646
hex930565d9790

10103212054416 has 160 divisors (see below), whose sum is σ = 29691561840640. Its totient is φ = 2934658294272.

The previous prime is 10103212054393. The next prime is 10103212054423. The reversal of 10103212054416 is 61445021230101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849665 + ... + 4860831.

It is an arithmetic number, because the mean of its divisors is an integer number (185572261504).

Almost surely, 210103212054416 is an apocalyptic number.

10103212054416 is a gapful number since it is divisible by the number (16) 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 10103212054416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845780920320).

10103212054416 is an abundant number, since it is smaller than the sum of its proper divisors (19588349786224).

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

10103212054416 is a wasteful number, since it uses less digits than its factorization.

10103212054416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011493 (or 3011487 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10103212054416 its reverse (61445021230101), we get a palindrome (71548233284517).

The spelling of 10103212054416 in words is "ten trillion, one hundred three billion, two hundred twelve million, fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 283 304 312 456 494 566 624 741 849 912 988 1132 1482 1698 1976 2264 2964 3396 3679 3952 4528 5377 5928 6792 7358 10754 11037 11856 13584 14716 16131 21508 22074 29432 32262 43016 44148 58864 64524 69901 86032 88296 129048 139802 176592 209703 258096 279604 419406 559208 838812 1118416 1677624 3011167 3355248 6022334 9033501 12044668 18067002 24089336 36134004 39145171 48178672 57212173 72268008 78290342 114424346 117435513 144536016 156580684 171636519 228848692 234871026 313161368 343273038 457697384 469742052 626322736 686546076 743758249 852160261 915394768 939484104 1373092152 1487516498 1704320522 1878968208 2231274747 2556480783 2746184304 2975032996 3408641044 4462549494 5112961566 5950065992 6817282088 8925098988 10225923132 11078083393 11900131984 13634564176 16191044959 17850197976 20451846264 22156166786 32382089918 33234250179 35700395952 40903692528 44312333572 48573134877 64764179836 66468500358 88624667144 97146269754 129528359672 132937000716 177249334288 194292539508 210483584467 259056719344 265874001432 388585079016 420967168934 531748002864 631450753401 777170158032 841934337868 1262901506802 1683868675736 2525803013604 3367737351472 5051606027208 10103212054416