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211120032031132 = 227217674632042531
BaseRepresentation
bin110000000000001100110110…
…100000111010000110011100
31000200111212201000201200211111
4300000030312200322012130
5210132442311144444012
62025003112004031404
762316630130111600
oct6000146640720634
91020455630650744
10211120032031132
11612a6559214894
121b818587692564
1390a56c2403913
143a1c39a87d500
151961ab3429ba7
hexc0033683a19c

211120032031132 has 144 divisors (see below), whose sum is σ = 462850954126848. Its totient is φ = 83705428477440.

The previous prime is 211120032031121. The next prime is 211120032031147. The reversal of 211120032031132 is 231130230021112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102340707 + ... + 104383237.

It is an arithmetic number, because the mean of its divisors is an integer number (3214242736992).

Almost surely, 2211120032031132 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 211120032031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231425477063424).

211120032031132 is an abundant number, since it is smaller than the sum of its proper divisors (251730922095716).

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

211120032031132 is a wasteful number, since it uses less digits than its factorization.

211120032031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043096 (or 2043087 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211120032031132 its reverse (231130230021112), we get a palindrome (442250262052244).

The spelling of 211120032031132 in words is "two hundred eleven trillion, one hundred twenty billion, thirty-two million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 463 469 476 833 926 938 1139 1666 1852 1876 2278 3241 3283 3332 4556 6482 6566 7871 7973 12964 13132 15742 15946 22687 31021 31484 31892 45374 55097 55811 62042 90748 110194 111622 124084 217147 220388 223244 385679 434294 527357 771358 868588 1054714 1520029 1542716 2042531 2109428 3040058 3691499 4085062 6080116 7382998 8170124 14297717 14765996 25840493 28595434 34723027 51680986 57190868 69446054 100084019 103361972 136849577 138892108 200168038 243061189 273699154 400336076 486122378 547398308 945691853 957947039 972244756 1701428323 1891383706 1915894078 2326442809 3402856646 3782767412 3831788156 4652885618 6619842971 6705629273 6805713292 9305771236 13239685942 13411258546 16076761501 16285099663 26479371884 26822517092 32153523002 32570199326 46338900797 63361354151 64307046004 65140398652 92677801594 112537330507 113995697641 126722708302 185355603188 225074661014 227991395282 253445416604 443529479057 450149322028 455982790564 787761313549 887058958114 1077143020567 1575522627098 1774117916228 2154286041134 3104706353399 3151045254196 4308572082268 6209412706798 7540001143969 12418825413596 15080002287938 30160004575876 52780008007783 105560016015566 211120032031132