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103143210144 = 25313293282071
BaseRepresentation
bin110000000001111010…
…0000111110010100000
3100212020020010221222020
41200003310013302200
53142214130211034
6115214444541440
710310661551322
oct1400364076240
9325206127866
10103143210144
113a819720437
1217ba6551880
139959a864c0
144dc66a5612
152a3a16b249
hex1803d07ca0

103143210144 has 96 divisors (see below), whose sum is σ = 292574104704. Its totient is φ = 31627944960.

The previous prime is 103143210127. The next prime is 103143210161. The reversal of 103143210144 is 441012341301.

It is an interprime number because it is at equal distance from previous prime (103143210127) and next prime (103143210161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224629 + ... + 506699.

It is an arithmetic number, because the mean of its divisors is an integer number (3047646924).

Almost surely, 2103143210144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103143210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146287052352).

103143210144 is an abundant number, since it is smaller than the sum of its proper divisors (189430894560).

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

103143210144 is a wasteful number, since it uses less digits than its factorization.

103143210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282390 (or 282382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103143210144 its reverse (441012341301), we get a palindrome (544155551445).

The spelling of 103143210144 in words is "one hundred three billion, one hundred forty-three million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 293 312 416 586 624 879 1172 1248 1758 2344 3516 3809 4688 7032 7618 9376 11427 14064 15236 22854 28128 30472 45708 60944 91416 121888 182832 282071 365664 564142 846213 1128284 1692426 2256568 3384852 3666923 4513136 6769704 7333846 9026272 11000769 13539408 14667692 22001538 27078816 29335384 44003076 58670768 82646803 88006152 117341536 165293606 176012304 247940409 330587212 352024608 495880818 661174424 991761636 1074408439 1322348848 1983523272 2148816878 2644697696 3223225317 3967046544 4297633756 6446450634 7934093088 8595267512 12892901268 17190535024 25785802536 34381070048 51571605072 103143210144