Search a number
-
+
20291911101 = 37711412939
BaseRepresentation
bin10010111001011111…
…011111110110111101
31221101011210220000000
4102321133133312331
5313024212123401
613153314024513
71315565253450
oct227137376675
957334726000
1020291911101
118673289170
123b23878139
131bb50029b7
14da6d91497
157db6cd186
hex4b97dfdbd

20291911101 has 128 divisors (see below), whose sum is σ = 38881382400. Its totient is φ = 10280649600.

The previous prime is 20291911049. The next prime is 20291911109. The reversal of 20291911101 is 10111919202.

It is not a de Polignac number, because 20291911101 - 215 = 20291878333 is a prime.

It is a super-2 number, since 2×202919111012 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20291911109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6902890 + ... + 6905828.

It is an arithmetic number, because the mean of its divisors is an integer number (303760800).

Almost surely, 220291911101 is an apocalyptic number.

20291911101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20291911101 is a deficient number, since it is larger than the sum of its proper divisors (18589471299).

20291911101 is an equidigital number, since it uses as much as digits as its factorization.

20291911101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 20291911101 in words is "twenty billion, two hundred ninety-one million, nine hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 11 21 27 33 41 63 77 81 99 123 189 231 243 287 297 369 451 567 693 729 861 891 1107 1353 1701 2079 2187 2583 2673 2939 3157 3321 4059 5103 6237 7749 8019 8817 9471 9963 12177 15309 18711 20573 23247 24057 26451 28413 29889 32329 36531 56133 61719 69741 79353 85239 89667 96987 109593 120499 168399 185157 209223 226303 238059 255717 290961 328779 361497 555471 627669 678909 714177 767151 843493 872883 986337 1084491 1325489 1666413 2036727 2142531 2301453 2530479 2618649 3253473 3976467 4999239 6110181 6427593 6904359 7591437 7855947 9278423 9760419 11929401 14997717 18330543 22774311 23567841 27835269 29281257 35788203 44993151 54991629 68322933 70703523 83505807 87843771 107364609 164974887 204968799 250517421 263531313 322093827 494924661 614906397 751552263 966281481 1844719191 2254656789 2898844443 6763970367 20291911101