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10232300100220 = 22511714253154027
BaseRepresentation
bin1001010011100110010010…
…0111001101101001111100
31100020012100120212001000221
42110321210213031221330
52320121222311201340
633432353114231124
72104154635536562
oct224714447155174
940205316761027
1010232300100220
113295548718620
1211931087254a4
13592b9521b423
14275362d11a32
1512b273dd244a
hex94e649cda7c

10232300100220 has 96 divisors (see below), whose sum is σ = 23777171744256. Its totient is φ = 3667543891200.

The previous prime is 10232300100137. The next prime is 10232300100227. The reversal of 10232300100220 is 2200100323201.

It is a junction number, because it is equal to n+sod(n) for n = 10232300100194 and 10232300100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232300100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66354847 + ... + 66508873.

It is an arithmetic number, because the mean of its divisors is an integer number (247678872336).

Almost surely, 210232300100220 is an apocalyptic number.

10232300100220 is a gapful number since it is divisible by the number (10) 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 10232300100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888585872128).

10232300100220 is an abundant number, since it is smaller than the sum of its proper divisors (13544871644036).

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

10232300100220 is a wasteful number, since it uses less digits than its factorization.

10232300100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158371 (or 158369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10232300100220 its reverse (2200100323201), we get a palindrome (12432400423421).

The spelling of 10232300100220 in words is "ten trillion, two hundred thirty-two billion, three hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 4253 7810 8506 15620 17012 21265 42530 46783 85060 93566 154027 187132 233915 301963 308054 467830 603926 616108 770135 935660 1207852 1509815 1540270 1694297 3019630 3080540 3321593 3388594 6039260 6643186 6777188 8471485 10935917 13286372 16607965 16942970 21871834 33215930 33885940 43743668 54679585 66431860 109359170 120295087 218718340 240590174 481180348 601475435 655076831 1202950870 1310153662 2405901740 2620307324 3275384155 6550768310 7205845141 13101536620 14411690282 28823380564 36029225705 46510455001 72058451410 93020910002 144116902820 186041820004 232552275005 465104550010 511615005011 930209100020 1023230010022 2046460020044 2558075025055 5116150050110 10232300100220