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21100202032 = 247313973049
BaseRepresentation
bin10011101001101010…
…111000100000110000
32000110111202022201011
4103221222320200300
5321203122431112
613405430320304
71344611521000
oct235152704060
960414668634
1021100202032
118a485720a8
12410a4b9094
131cb35c9560
141042478000
15837641aa7
hex4e9ab8830

21100202032 has 160 divisors (see below), whose sum is σ = 51889040000. Its totient is φ = 8258568192.

The previous prime is 21100202023. The next prime is 21100202033. The reversal of 21100202032 is 23020200112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21100202033) 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, 6918844 + ... + 6921892.

It is an arithmetic number, because the mean of its divisors is an integer number (324306500).

Almost surely, 221100202032 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 21100202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944520000).

21100202032 is an abundant number, since it is smaller than the sum of its proper divisors (30788837968).

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

21100202032 is a wasteful number, since it uses less digits than its factorization.

21100202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21100202032 its reverse (23020200112), we get a palindrome (44120402144).

The spelling of 21100202032 in words is "twenty-one billion, one hundred million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 97 98 104 112 182 194 196 208 343 364 388 392 637 679 686 728 776 784 1261 1274 1358 1372 1456 1552 2522 2548 2716 2744 3049 4459 4753 5044 5096 5432 5488 6098 8827 8918 9506 10088 10192 10864 12196 17654 17836 19012 20176 21343 24392 33271 35308 35672 38024 39637 42686 48784 61789 66542 70616 71344 76048 79274 85372 123578 133084 141232 149401 158548 170744 247156 266168 277459 295753 298802 317096 341488 432523 494312 532336 554918 591506 597604 634192 865046 988624 1045807 1109836 1183012 1195208 1730092 1942213 2070271 2091614 2219672 2366024 2390416 3460184 3844789 3884426 4140542 4183228 4439344 4732048 6920368 7689578 7768852 8281084 8366456 13595491 14491897 15379156 15537704 16562168 16732912 26913523 27190982 28983794 30758312 31075408 33124336 53827046 54381964 57967588 61516624 101443279 107654092 108763928 115935176 188394661 202886558 215308184 217527856 231870352 376789322 405773116 430616368 753578644 811546232 1318762627 1507157288 1623092464 2637525254 3014314576 5275050508 10550101016 21100202032