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21130303953192 = 23371634283180161
BaseRepresentation
bin1001100110111110010000…
…10000101101100100101000
32202211001000012202121011020
410303133020100231210220
510232144330303000232
6112535043322332440
74310420426061120
oct463371020554450
982731005677136
1021130303953192
116807347796645
12245324005a120
13ba376b407355
145309d8291c80
152699aaea0e2c
hex1337c842d928

21130303953192 has 128 divisors (see below), whose sum is σ = 60757198709760. Its totient is φ = 5998757253120.

The previous prime is 21130303953067. The next prime is 21130303953211. The reversal of 21130303953192 is 29135930303112.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 117195592 + ... + 117375752.

It is an arithmetic number, because the mean of its divisors is an integer number (474665614920).

Almost surely, 221130303953192 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 21130303953192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30378599354880).

21130303953192 is an abundant number, since it is smaller than the sum of its proper divisors (39626894756568).

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

21130303953192 is a wasteful number, since it uses less digits than its factorization.

21130303953192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184623 (or 184619 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 21130303953192 in words is "twenty-one trillion, one hundred thirty billion, three hundred three million, nine hundred fifty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 3423 3912 4283 4564 6846 8566 9128 12849 13692 17132 25698 27384 29981 34264 51396 59962 89943 102792 119924 179886 180161 239848 359772 360322 540483 698129 719544 720644 1080966 1261127 1396258 1441288 2094387 2161932 2522254 2792516 3783381 4188774 4323864 4886903 5044508 5585032 7566762 8377548 9773806 10089016 14660709 15133524 16755096 19547612 29321418 29366243 30267048 39095224 58642836 58732486 88098729 117285672 117464972 176197458 205563701 234929944 352394916 411127402 616691103 704789832 771629563 822254804 1233382206 1543259126 1644509608 2314888689 2466764412 3086518252 4629777378 4933528824 5401406941 6173036504 9259554756 10802813882 16204220823 18519109512 21605627764 32408441646 43211255528 64816883292 125775618769 129633766584 251551237538 377326856307 503102475076 754653712614 880429331383 1006204950152 1509307425228 1760858662766 2641287994149 3018614850456 3521717325532 5282575988298 7043434651064 10565151976596 21130303953192