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148070201928100 = 225212168412
BaseRepresentation
bin100001101010101101000111…
…110010011010100110100100
3201102021101001221221101121121
4201222231013302122212210
5123401440233143144400
61242530302310023324
743121501431612534
oct4152550762324644
9642241057841547
10148070201928100
11431a8246896081
1214734bb7047b44
136480c6352cc8a
14287c8c93074c4
15121b9a464d21a
hex86ab47c9a9a4

148070201928100 has 27 divisors (see below), whose sum is σ = 321312602238691. Its totient is φ = 59228032097600.

The previous prime is 148070201928083. The next prime is 148070201928101. The reversal of 148070201928100 is 1829102070841.

The square root of 148070201928100 is 12168410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24221615030116 + 123848586897984 = 4921546^2 + 11128728^2 .

It is a super-2 number, since 2×1480702019281002 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148070201928101) 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 8 ways as a sum of consecutive naturals, for example, 121075680 + ... + 122292520.

Almost surely, 2148070201928100 is an apocalyptic number.

148070201928100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148070201928100 is the 12168410-th square number.

It is an amenable number.

148070201928100 is an abundant number, since it is smaller than the sum of its proper divisors (173242400310591).

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

148070201928100 is an frugal number, since it uses more digits than its factorization.

148070201928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433696 (or 1216848 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

Adding to 148070201928100 its reverse (1829102070841), we get a palindrome (149899303998941).

The spelling of 148070201928100 in words is "one hundred forty-eight trillion, seventy billion, two hundred one million, nine hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1216841 2433682 4867364 6084205 12168410 24336820 30421025 60842050 121684100 1480702019281 2961404038562 5922808077124 7403510096405 14807020192810 29614040385620 37017550482025 74035100964050 148070201928100