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1034204015320 = 2357191823106637
BaseRepresentation
bin11110000110010110101…
…11001110101011011000
310122212110110022102201021
433003023113032223120
5113421022211442240
62111035021132224
7134501353041220
oct17031327165330
93585413272637
101034204015320
11369670228953
121485289ba074
13766a9614168
14380acd51080
151bd7e4b454a
hexf0cb5cead8

1034204015320 has 128 divisors (see below), whose sum is σ = 2800911052800. Its totient is φ = 335734488576.

The previous prime is 1034204015269. The next prime is 1034204015329. The reversal of 1034204015320 is 235104024301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034204015329) 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, 9645042 + ... + 9751678.

It is an arithmetic number, because the mean of its divisors is an integer number (21882117600).

Almost surely, 21034204015320 is an apocalyptic number.

1034204015320 is a gapful number since it is divisible by the number (10) 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 1034204015320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400455526400).

1034204015320 is an abundant number, since it is smaller than the sum of its proper divisors (1766707037480).

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

1034204015320 is a wasteful number, since it uses less digits than its factorization.

1034204015320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108497 (or 108493 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1034204015320 its reverse (235104024301), we get a palindrome (1269308039621).

The spelling of 1034204015320 in words is "one trillion, thirty-four billion, two hundred four million, fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 1823 2660 3646 5320 7292 9115 12761 14584 18230 25522 34637 36460 51044 63805 69274 72920 102088 106637 127610 138548 173185 213274 242459 255220 277096 346370 426548 484918 510440 533185 692740 746459 853096 969836 1066370 1212295 1385480 1492918 1939672 2026103 2132740 2424590 2985836 3732295 4052206 4265480 4849180 5971672 7464590 8104412 9698360 10130515 14182721 14929180 16208824 20261030 28365442 29858360 40522060 56730884 70913605 81044120 113461768 141827210 194399251 283654420 388798502 567308840 777597004 971996255 1360794757 1555194008 1943992510 2721589514 3693585769 3887985020 5443179028 6803973785 7387171538 7775970040 10886358056 13607947570 14774343076 18467928845 25855100383 27215895140 29548686152 36935857690 51710200766 54431790280 73871715380 103420401532 129275501915 147743430760 206840803064 258551003830 517102007660 1034204015320