Search a number
-
+
1020021111096 = 2331367151323149
BaseRepresentation
bin11101101011111011111…
…11101111100100111000
310121111212000200020201020
432311331333233210320
5113203000401023341
62100331412222440
7133460034250221
oct16657577574470
93544760606636
101020021111096
11363652363aa9
1214582b00aa20
1375259155540
1437525466248
151b7ee2a2566
hexed7dfef938

1020021111096 has 128 divisors (see below), whose sum is σ = 2805665856000. Its totient is φ = 307119859200.

The previous prime is 1020021111089. The next prime is 1020021111119. The reversal of 1020021111096 is 6901111200201.

It is a happy number.

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

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, 2994930 + ... + 3318078.

It is an arithmetic number, because the mean of its divisors is an integer number (21919264500).

Almost surely, 21020021111096 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 1020021111096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402832928000).

1020021111096 is an abundant number, since it is smaller than the sum of its proper divisors (1785644744904).

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

1020021111096 is a wasteful number, since it uses less digits than its factorization.

1020021111096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323389 (or 323385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 1020021111096 its reverse (6901111200201), we get a palindrome (7921132311297).

The spelling of 1020021111096 in words is "one trillion, twenty billion, twenty-one million, one hundred eleven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 151 156 201 268 302 312 402 453 536 604 804 871 906 1208 1608 1742 1812 1963 2613 3484 3624 3926 5226 5889 6968 7852 10117 10452 11778 15704 20234 20904 23556 30351 40468 47112 60702 80936 121404 131521 242808 263042 323149 394563 526084 646298 789126 969447 1052168 1292596 1578252 1938894 2585192 3156504 3877788 4200937 7755576 8401874 12602811 16803748 21650983 25205622 33607496 43301966 48795499 50411244 64952949 86603932 97590998 100822488 129905898 146386497 173207864 195181996 259811796 281462779 292772994 390363992 519623592 562925558 585545988 634341487 844388337 1125851116 1171091976 1268682974 1688776674 1903024461 2251702232 2537365948 3269298433 3377553348 3806048922 5074731896 6538596866 6755106696 7612097844 9807895299 13077193732 15224195688 19615790598 26154387464 39231581196 42500879629 78463162392 85001759258 127502638887 170003518516 255005277774 340007037032 510010555548 1020021111096