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100210324441024 = 267253133883661
BaseRepresentation
bin10110110010010000001000…
…110010101000011111000000
3111010211000100210212011022201
4112302100020302220133000
5101113321221024103044
6553043553145242544
730051646154324350
oct2662201062503700
9433730323764281
10100210324441024
1129a25a6173a766
12b2a5522a93454
1343bba4042a005
141aa62c418cb60
15b8ba7933c7d4
hex5b2408ca87c0

100210324441024 has 56 divisors (see below), whose sum is σ = 227263855055328. Its totient is φ = 42947063639040.

The previous prime is 100210324440997. The next prime is 100210324441081. The reversal of 100210324441024 is 420144423012001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 100210324440983 and 100210324441001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112961754 + ... + 113845414.

It is an arithmetic number, because the mean of its divisors is an integer number (4058283125988).

Almost surely, 2100210324441024 is an apocalyptic number.

100210324441024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100210324441024 is an abundant number, since it is smaller than the sum of its proper divisors (127053530614304).

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

100210324441024 is an equidigital number, since it uses as much as digits as its factorization.

100210324441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136813 (or 1136803 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 100210324441024 its reverse (420144423012001), we get a palindrome (520354747453025).

The spelling of 100210324441024 in words is "one hundred trillion, two hundred ten billion, three hundred twenty-four million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 253133 506266 883661 1012532 1767322 1771931 2025064 3534644 3543862 4050128 6185627 7069288 7087724 8100256 12371254 14138576 14175448 16200512 24742508 28277152 28350896 49485016 56554304 56701792 98970032 113403584 197940064 395880128 223683759913 447367519826 894735039652 1565786319391 1789470079304 3131572638782 3578940158608 6263145277564 7157880317216 12526290555128 14315760634432 25052581110256 50105162220512 100210324441024