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10003223031312 = 2437206111444447
BaseRepresentation
bin1001000110010000111010…
…0011100010111000010000
31022102022001210221012121110
42101210032203202320100
52302343100044000222
633135230041453320
72051465122560120
oct221441643427020
938368053835543
1010003223031312
113207385688165
1211568371a1240
135773b8acc144
142682311d0c80
15125317d9030c
hex9190e8e2e10

10003223031312 has 80 divisors (see below), whose sum is σ = 29534778478592. Its totient is φ = 2857923077760.

The previous prime is 10003223031211. The next prime is 10003223031317. The reversal of 10003223031312 is 21313032230001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10003223031317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6203073 + ... + 7647519.

Almost surely, 210003223031312 is an apocalyptic number.

10003223031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003223031312 is an abundant number, since it is smaller than the sum of its proper divisors (19531555447280).

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

10003223031312 is a wasteful number, since it uses less digits than its factorization.

10003223031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465076 (or 1465070 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10003223031312 its reverse (21313032230001), we get a palindrome (31316255261313).

The spelling of 10003223031312 in words is "ten trillion, three billion, two hundred twenty-three million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 20611 41222 61833 82444 123666 144277 164888 247332 288554 329776 432831 494664 577108 865662 989328 1154216 1444447 1731324 2308432 2888894 3462648 4333341 5777788 6925296 8666682 10111129 11555576 17333364 20222258 23111152 30333387 34666728 40444516 60666774 69333456 80889032 121333548 161778064 242667096 485334192 29771497117 59542994234 89314491351 119085988468 178628982702 208400479819 238171976936 357257965404 416800959638 476343953872 625201439457 714515930808 833601919276 1250402878914 1429031861616 1667203838552 2500805757828 3334407677104 5001611515656 10003223031312