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10210012300032 = 28347382174027
BaseRepresentation
bin1001010010010011010000…
…1010000000001100000000
31100011001211022102110220220
42110210310022000030000
52314240101122100112
633414225341303040
72102435423422356
oct224446412001400
940131738373826
1010210012300032
113287050850446
12118a928564a80
13590a5288058c
1427424ac557d6
1512a8bc3a498c
hex94934280300

10210012300032 has 144 divisors (see below), whose sum is σ = 27759320289792. Its totient is φ = 3330009272320.

The previous prime is 10210012300013. The next prime is 10210012300123. The reversal of 10210012300032 is 23000321001201.

It is a junction number, because it is equal to n+sod(n) for n = 10210012299984 and 10210012300020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137885803 + ... + 137959829.

It is an arithmetic number, because the mean of its divisors is an integer number (192773057568).

Almost surely, 210210012300032 is an apocalyptic number.

10210012300032 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 10210012300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879660144896).

10210012300032 is an abundant number, since it is smaller than the sum of its proper divisors (17549307989760).

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

10210012300032 is an equidigital number, since it uses as much as digits as its factorization.

10210012300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77914 (or 77900 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10210012300032 its reverse (23000321001201), we get a palindrome (33210333301233).

The spelling of 10210012300032 in words is "ten trillion, two hundred ten billion, twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 3821 4512 6016 7642 9024 11463 12032 15284 18048 22926 30568 36096 45852 61136 74027 91704 122272 148054 179587 183408 222081 244544 296108 359174 366816 444162 489088 538761 592216 718348 733632 888324 978176 1077522 1184432 1436696 1467264 1776648 2155044 2368864 2873392 2934528 3479269 3553296 4310088 4737728 5746784 6958538 7106592 8620176 9475456 10437807 11493568 13917076 14213184 17240352 18950912 20875614 22987136 27834152 28426368 34480704 41751228 45974272 55668304 56852736 68961408 83502456 111336608 137922816 167004912 222673216 282857167 334009824 445346432 565714334 668019648 848571501 890692864 1131428668 1336039296 1697143002 2262857336 2672078592 3394286004 4525714672 6788572008 9051429344 13294286849 13577144016 18102858688 26588573698 27154288032 36205717376 39882860547 53177147396 54308576064 72411434752 79765721094 106354294792 108617152128 159531442188 212708589584 217234304256 319062884376 425417179168 638125768752 850834358336 1276251537504 1701668716672 2552503075008 3403337433344 5105006150016 10210012300032