Search a number
-
+
1370035411100 = 22521719301114087
BaseRepresentation
bin10011111011111100011…
…110010101100010011100
311211222022010022221222222
4103323330132111202130
5134421313031123400
62525215141324512
7200660516564366
oct23737436254234
94758263287888
101370035411100
11489035300134
121a1632106738
139c26998c9b5
144a44ab7bd36
15259876cd185
hex13efc79589c

1370035411100 has 144 divisors (see below), whose sum is σ = 3314870334720. Its totient is φ = 488434867200.

The previous prime is 1370035411079. The next prime is 1370035411127. The reversal of 1370035411100 is 11145300731.

It is a self number, because there is not a number n which added to its sum of digits gives 1370035411100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97248257 + ... + 97262343.

It is an arithmetic number, because the mean of its divisors is an integer number (23019932880).

Almost surely, 21370035411100 is an apocalyptic number.

1370035411100 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 1370035411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657435167360).

1370035411100 is an abundant number, since it is smaller than the sum of its proper divisors (1944834923620).

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

1370035411100 is a wasteful number, since it uses less digits than its factorization.

1370035411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17148 (or 17141 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The spelling of 1370035411100 in words is "one trillion, three hundred seventy billion, thirty-five million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3011 3230 6022 6460 8075 12044 14087 15055 16150 28174 30110 32300 51187 56348 57209 60220 70435 75275 102374 114418 140870 150550 204748 228836 239479 255935 267653 281740 286045 301100 352175 478958 511870 535306 572090 704350 957916 972553 1023740 1070612 1144180 1197395 1279675 1338265 1408700 1430225 1945106 2394790 2559350 2676530 2860450 3890212 4550101 4789580 4862765 5118700 5353060 5720900 5986975 6691325 9100202 9725530 11973950 13382650 18200404 19451060 22750505 23947900 24313825 26765300 42415957 45501010 48627650 84831914 91002020 97255300 113752525 169663828 212079785 227505050 424159570 455010100 721071269 805903183 848319140 1060398925 1442142538 1611806366 2120797850 2884285076 3223612732 3605356345 4029515915 4241595700 7210712690 8059031830 13700354111 14421425380 16118063660 18026781725 20147579575 27400708222 36053563450 40295159150 54801416444 68501770555 72107126900 80590318300 137003541110 274007082220 342508852775 685017705550 1370035411100