Search a number
-
+
10210113233232 = 243111011031858823
BaseRepresentation
bin1001010010010011101000…
…1011000010000101010000
31100011002002100100102020120
42110210322023002011100
52314240302441430412
633414243344510240
72102441060352303
oct224447213020520
940132070312216
1010210113233232
1132870a281a010
12118a95631b380
13590a6a75ca73
1427425a40ab3a
1512a8c6190b8c
hex9493a2c2150

10210113233232 has 160 divisors (see below), whose sum is σ = 29340986628096. Its totient is φ = 3033597504000.

The previous prime is 10210113233227. The next prime is 10210113233233. The reversal of 10210113233232 is 23233231101201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210113233233) 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, 4563373 + ... + 6422195.

Almost surely, 210210113233232 is an apocalyptic number.

10210113233232 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 10210113233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14670493314048).

10210113233232 is an abundant number, since it is smaller than the sum of its proper divisors (19130873394864).

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

10210113233232 is a wasteful number, since it uses less digits than its factorization.

10210113233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859049 (or 1859043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10210113233232 its reverse (23233231101201), we get a palindrome (33443344334433).

The spelling of 10210113233232 in words is "ten trillion, two hundred ten billion, one hundred thirteen million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 103 132 176 202 206 264 303 309 404 412 528 606 618 808 824 1111 1133 1212 1236 1616 1648 2222 2266 2424 2472 3333 3399 4444 4532 4848 4944 6666 6798 8888 9064 10403 13332 13596 17776 18128 20806 26664 27192 31209 41612 53328 54384 62418 83224 114433 124836 166448 228866 249672 343299 457732 499344 686598 915464 1373196 1830928 1858823 2746392 3717646 5492784 5576469 7435292 11152938 14870584 20447053 22305876 29741168 40894106 44611752 61341159 81788212 89223504 122682318 163576424 187741123 191458769 245364636 327152848 375482246 382917538 490729272 563223369 574376307 750964492 765835076 981458544 1126446738 1148752614 1501928984 1531670152 2065152353 2106046459 2252893476 2297505228 3003857968 3063340304 4130304706 4212092918 4505786952 4595010456 6195457059 6318139377 8260609412 8424185836 9011573904 9190020912 12390914118 12636278754 16521218824 16848371672 19337335669 24781828236 25272557508 33042437648 33696743344 38674671338 49563656472 50545115016 58012007007 77349342676 99127312944 101090230032 116024014014 154698685352 212710692359 232048028028 309397370704 425421384718 464096056056 638132077077 850842769436 928192112112 1276264154154 1701685538872 2552528308308 3403371077744 5105056616616 10210113233232