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21103311132 = 22333128322273
BaseRepresentation
bin10011101001110110…
…101111100100011100
32000110201121021121000
4103221312233210130
5321204421424012
613410021110300
71344650120301
oct235166574434
960421537530
1021103311132
118a4a2a6002
12410b558390
131cb4147767
141042a470a8
15837a57ddc
hex4e9daf91c

21103311132 has 96 divisors (see below), whose sum is σ = 56679311360. Its totient is φ = 6783160320.

The previous prime is 21103311127. The next prime is 21103311161. The reversal of 21103311132 is 23111330112.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 936348 + ... + 958620.

Almost surely, 221103311132 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 21103311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28339655680).

21103311132 is an abundant number, since it is smaller than the sum of its proper divisors (35576000228).

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

21103311132 is a wasteful number, since it uses less digits than its factorization.

21103311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22600 (or 22592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21103311132 its reverse (23111330112), we get a palindrome (44214641244).

The spelling of 21103311132 in words is "twenty-one billion, one hundred three million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 283 372 558 566 837 849 1116 1132 1674 1698 2547 3348 3396 5094 7641 8773 10188 15282 17546 22273 26319 30564 35092 44546 52638 66819 78957 89092 105276 133638 157914 200457 236871 267276 315828 400914 473742 601371 690463 801828 947484 1202742 1380926 2071389 2405484 2761852 4142778 6214167 6303259 8285556 12428334 12606518 18642501 18909777 24856668 25213036 37285002 37819554 56729331 74570004 75639108 113458662 170187993 195401029 226917324 340375986 390802058 586203087 680751972 781604116 1172406174 1758609261 2344812348 3517218522 5275827783 7034437044 10551655566 21103311132