Search a number
-
+
1110210002000 = 24531188756893
BaseRepresentation
bin10000001001111101101…
…011000011110001010000
310221010122102222121102222
4100021331223003301100
5121142202230031000
62210005021200212
7143132016212141
oct20117553036120
93833572877388
101110210002000
1139892366a680
1215b1bb100068
1380900142488
143ba3d493ac8
151dd2bee1a85
hex1027dac3c50

1110210002000 has 160 divisors (see below), whose sum is σ = 2931885275904. Its totient is φ = 403250496000.

The previous prime is 1110210001903. The next prime is 1110210002017. The reversal of 1110210002000 is 2000120111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19485554 + ... + 19542446.

Almost surely, 21110210002000 is an apocalyptic number.

1110210002000 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 1110210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465942637952).

1110210002000 is an abundant number, since it is smaller than the sum of its proper divisors (1821675273904).

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

1110210002000 is a wasteful number, since it uses less digits than its factorization.

1110210002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57814 (or 57798 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110210002000 its reverse (2000120111), we get a palindrome (1112210122111).

The spelling of 1110210002000 in words is "one trillion, one hundred ten billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 887 1000 1100 1375 1774 2000 2200 2750 3548 4400 4435 5500 7096 8870 9757 11000 14192 17740 19514 22000 22175 35480 39028 44350 48785 56893 70960 78056 88700 97570 110875 113786 156112 177400 195140 221750 227572 243925 284465 354800 390280 443500 455144 487850 568930 625823 780560 887000 910288 975700 1137860 1219625 1251646 1422325 1774000 1951400 2275720 2439250 2503292 2844650 3129115 3902800 4551440 4878500 5006584 5689300 6258230 7111625 9757000 10013168 11378600 12516460 14223250 15645575 19514000 22757200 25032920 28446500 31291150 50065840 50464091 56893000 62582300 78227875 100928182 113786000 125164600 156455750 201856364 250329200 252320455 312911500 403712728 504640910 555105001 625823000 807425456 1009281820 1110210002 1251646000 1261602275 2018563640 2220420004 2523204550 2775525005 4037127280 4440840008 5046409100 5551050010 6308011375 8881680016 10092818200 11102100020 12616022750 13877625025 20185636400 22204200040 25232045500 27755250050 44408400080 50464091000 55510500100 69388125125 100928182000 111021000200 138776250250 222042000400 277552500500 555105001000 1110210002000