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101130153613016 = 231124312891884881
BaseRepresentation
bin10110111111101000110010…
…111000011101011011011000
3111021001221121021201112211112
4112333220302320131123120
5101223404023311104031
6555030315020515452
730205261324304063
oct2677506270353330
9437057537645745
10101130153613016
112a25006a290a00
12b41384b9abb88
1344576c007b888
141ad8a22cad8da
15ba59625de62b
hex5bfa32e1d6d8

101130153613016 has 96 divisors (see below), whose sum is σ = 213436875128400. Its totient is φ = 44864366131200.

The previous prime is 101130153613009. The next prime is 101130153613031. The reversal of 101130153613016 is 610316351031101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52710896 + ... + 54595776.

Almost surely, 2101130153613016 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 101130153613016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106718437564200).

101130153613016 is an abundant number, since it is smaller than the sum of its proper divisors (112306721515384).

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

101130153613016 is a wasteful number, since it uses less digits than its factorization.

101130153613016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886241 (or 1886226 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The spelling of 101130153613016 in words is "one hundred one trillion, one hundred thirty billion, one hundred fifty-three million, six hundred thirteen thousand, sixteen".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1289 1892 2578 3784 5156 5203 10312 10406 14179 20812 28358 41624 55427 56716 110854 113432 155969 221708 311938 443416 609697 623876 1219394 1247752 1884881 2438788 3769762 4877576 6706667 7539524 13413334 15079048 20733691 26826668 41467382 53653336 81049883 82934764 162099766 165869528 228070601 324199532 456141202 648399064 891548713 912282404 1783097426 1824564808 2429611609 3566194852 4859223218 7132389704 9718446436 9807035843 19436892872 19614071686 26725727699 39228143372 53451455398 78456286744 104473299187 106902910796 208946598374 213805821592 293983004689 417893196748 587966009378 835786393496 1149206291057 1175932018756 2298412582114 2351864037512 4596825164228 9193650328456 12641269201627 25282538403254 50565076806508 101130153613016