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13212101592 = 23331912725349
BaseRepresentation
bin11000100111000000…
…01010101111011000
31021002202220022011000
430103200022233120
5204024244222332
610023005105000
7645260003424
oct142340125730
937082808130
1013212101592
11566a983528
122688858160
1313273052c1
148d49bbb84
15524d9bb7c
hex31380abd8

13212101592 has 128 divisors (see below), whose sum is σ = 38937600000. Its totient is φ = 4139227008.

The previous prime is 13212101579. The next prime is 13212101671. The reversal of 13212101592 is 29510121231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 508534 + ... + 533882.

It is an arithmetic number, because the mean of its divisors is an integer number (304200000).

Almost surely, 213212101592 is an apocalyptic number.

13212101592 is a gapful number since it is divisible by the number (12) 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 13212101592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468800000).

13212101592 is an abundant number, since it is smaller than the sum of its proper divisors (25725498408).

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

13212101592 is a wasteful number, since it uses less digits than its factorization.

13212101592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25510 (or 25500 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 13212101592 in words is "thirteen billion, two hundred twelve million, one hundred one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 127 152 171 216 228 254 342 381 456 508 513 684 762 1016 1026 1143 1368 1524 2052 2286 2413 3048 3429 4104 4572 4826 6858 7239 9144 9652 13716 14478 19304 21717 25349 27432 28956 43434 50698 57912 65151 76047 86868 101396 130302 152094 173736 202792 228141 260604 304188 456282 481631 521208 608376 684423 912564 963262 1368846 1444893 1825128 1926524 2737692 2889786 3219323 3853048 4334679 5475384 5779572 6438646 8669358 9657969 11559144 12877292 13004037 17338716 19315938 25754584 26008074 28973907 34677432 38631876 52016148 57947814 61167137 77263752 86921721 104032296 115895628 122334274 173843442 183501411 231791256 244668548 347686884 367002822 489337096 550504233 695373768 734005644 1101008466 1468011288 1651512699 2202016932 3303025398 4404033864 6606050796 13212101592