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101991292080 = 243531127107941
BaseRepresentation
bin101111011111100100…
…1111001110010110000
3100202020221121110110020
41132333021321302300
53132334232321310
6114504255203440
710240303451526
oct1367711716260
9322227543406
10101991292080
113a288475337
1217924816580
139805228392
144d176d0316
1529bde7c170
hex17bf279cb0

101991292080 has 160 divisors (see below), whose sum is σ = 328945041408. Its totient is φ = 26112844800.

The previous prime is 101991292061. The next prime is 101991292087. The reversal of 101991292080 is 80292199101.

It is not an unprimeable number, because it can be changed into a prime (101991292087) 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, 890910 + ... + 998850.

Almost surely, 2101991292080 is an apocalyptic number.

101991292080 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 101991292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164472520704).

101991292080 is an abundant number, since it is smaller than the sum of its proper divisors (226953749328).

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

101991292080 is a wasteful number, since it uses less digits than its factorization.

101991292080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108115 (or 108109 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 101991292080 in words is "one hundred one billion, nine hundred ninety-one million, two hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 127 155 186 240 248 254 310 372 381 465 496 508 620 635 744 762 930 1016 1240 1270 1488 1524 1860 1905 2032 2480 2540 3048 3720 3810 3937 5080 6096 7440 7620 7874 10160 11811 15240 15748 19685 23622 30480 31496 39370 47244 59055 62992 78740 94488 107941 118110 157480 188976 215882 236220 314960 323823 431764 472440 539705 647646 863528 944880 1079410 1295292 1619115 1727056 2158820 2590584 3238230 3346171 4317640 5181168 6476460 6692342 8635280 10038513 12952920 13384684 13708507 16730855 20077026 25905840 26769368 27417014 33461710 40154052 41125521 50192565 53538736 54834028 66923420 68542535 80308104 82251042 100385130 109668056 133846840 137085070 160616208 164502084 200770260 205627605 219336112 267693680 274170140 329004168 401540520 411255210 424963717 548340280 658008336 803081040 822510420 849927434 1096680560 1274891151 1645020840 1699854868 2124818585 2549782302 3290041680 3399709736 4249637170 5099564604 6374455755 6799419472 8499274340 10199129208 12748911510 16998548680 20398258416 25497823020 33997097360 50995646040 101991292080