Search a number
-
+
10153420000 = 25541729863
BaseRepresentation
bin10010111010011000…
…01110010011100000
3222012121110011210121
421131030032103200
5131243233420000
64355303010024
7506416434403
oct113514162340
928177404717
1010153420000
1143403827a9
121b74439914
13c5a715c39
146c469bd3a
153e65b5b1a
hex25d30e4e0

10153420000 has 120 divisors (see below), whose sum is σ = 26449171056. Its totient is φ = 3822336000.

The previous prime is 10153419971. The next prime is 10153420007. The reversal of 10153420000 is 2435101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153420007) 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, 325069 + ... + 354931.

Almost surely, 210153420000 is an apocalyptic number.

10153420000 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 10153420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224585528).

10153420000 is an abundant number, since it is smaller than the sum of its proper divisors (16295751056).

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

10153420000 is an equidigital number, since it uses as much as digits as its factorization.

10153420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29910 (or 29887 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 10153420000 its reverse (2435101), we get a palindrome (10155855101).

The spelling of 10153420000 in words is "ten billion, one hundred fifty-three million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 13600 17000 20000 21250 29863 34000 42500 59726 68000 85000 119452 149315 170000 238904 298630 340000 477808 507671 597260 746575 955616 1015342 1194520 1493150 2030684 2389040 2538355 2986300 3732875 4061368 4778080 5076710 5972600 7465750 8122736 10153420 11945200 12691775 14931500 16245472 18664375 20306840 23890400 25383550 29863000 37328750 40613680 50767100 59726000 63458875 74657500 81227360 101534200 119452000 126917750 149315000 203068400 253835500 298630000 317294375 406136800 507671000 597260000 634588750 1015342000 1269177500 2030684000 2538355000 5076710000 10153420000