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10200321023232 = 283103543123743
BaseRepresentation
bin1001010001101111001010…
…0000101101110100000000
31100010010210220120121102010
42110123302200231310000
52314110224140220412
633405543543452520
72101643315061144
oct224336240556400
940103726517363
1010200321023232
113282a2832877a
121188a82a57140
1358cb69b26572
142739abad7224
1512a50167a33c
hex946f282dd00

10200321023232 has 144 divisors (see below), whose sum is σ = 27417501483008. Its totient is φ = 3366334494720.

The previous prime is 10200321023173. The next prime is 10200321023239. The reversal of 10200321023232 is 23232012300201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10200321023199 and 10200321023208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200321023239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429601953 + ... + 429625695.

Almost surely, 210200321023232 is an apocalyptic number.

10200321023232 is a gapful number since it is divisible by the number (12) 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 10200321023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708750741504).

10200321023232 is an abundant number, since it is smaller than the sum of its proper divisors (17217180459776).

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

10200321023232 is a wasteful number, since it uses less digits than its factorization.

10200321023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29296 (or 29282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10200321023232 its reverse (23232012300201), we get a palindrome (33432333323433).

The spelling of 10200321023232 in words is "ten trillion, two hundred billion, three hundred twenty-one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 2472 3296 4944 5431 6592 9888 10862 13184 16293 19776 21724 23743 26368 32586 39552 43448 47486 65172 71229 79104 86896 94972 130344 142458 173792 189944 260688 284916 347584 379888 521376 559393 569832 695168 759776 1042752 1118786 1139664 1390336 1519552 1678179 2085504 2237572 2279328 2445529 3039104 3356358 4171008 4475144 4558656 4891058 6078208 6712716 7336587 8950288 9117312 9782116 13425432 14673174 17900576 18234624 19564232 26850864 29346348 35801152 39128464 53701728 58692696 71602304 78256928 107403456 117385392 128948233 143204608 156513856 214806912 234770784 257896466 313027712 386844699 429613824 469541568 515792932 626055424 773689398 939083136 1031585864 1547378796 1878166272 2063171728 3094757592 4126343456 6189515184 8252686912 12379030368 13281667999 16505373824 24758060736 26563335998 33010747648 39845003997 49516121472 53126671996 79690007994 99032242944 106253343992 159380015988 212506687984 318760031976 425013375968 637520063952 850026751936 1275040127904 1700053503872 2550080255808 3400107007744 5100160511616 10200321023232