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10153236130000 = 24548271227719
BaseRepresentation
bin1001001110111111110000…
…0010000110100011010000
31022221122021111001012111121
42103233330002012203100
52312322311422130000
633332155435052024
72065355441065015
oct223577402064320
938848244035447
1010153236130000
113264a66112577
12117b9222a1014
135885a4cb66b2
142715c25d170c
15129197baab1a
hex93bfc0868d0

10153236130000 has 100 divisors (see below), whose sum is σ = 24611744345760. Its totient is φ = 4056380272000.

The previous prime is 10153236129997. The next prime is 10153236130001. The reversal of 10153236130000 is 3163235101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153236130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7656141 + ... + 8883859.

Almost surely, 210153236130000 is an apocalyptic number.

10153236130000 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 10153236130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305872172880).

10153236130000 is an abundant number, since it is smaller than the sum of its proper divisors (14458508215760).

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

10153236130000 is an equidigital number, since it uses as much as digits as its factorization.

10153236130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228574 (or 1228553 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 10153236130000 its reverse (3163235101), we get a palindrome (10156399365101).

The spelling of 10153236130000 in words is "ten trillion, one hundred fifty-three billion, two hundred thirty-six million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 827 1000 1250 1654 2000 2500 3308 4135 5000 6616 8270 10000 13232 16540 20675 33080 41350 66160 82700 103375 165400 206750 330800 413500 516875 827000 1033750 1227719 1654000 2067500 2455438 4135000 4910876 6138595 8270000 9821752 12277190 19643504 24554380 30692975 49108760 61385950 98217520 122771900 153464875 245543800 306929750 491087600 613859500 767324375 1015323613 1227719000 1534648750 2030647226 2455438000 3069297500 4061294452 5076618065 6138595000 8122588904 10153236130 12277190000 16245177808 20306472260 25383090325 40612944520 50766180650 81225889040 101532361300 126915451625 203064722600 253830903250 406129445200 507661806500 634577258125 1015323613000 1269154516250 2030647226000 2538309032500 5076618065000 10153236130000