Search a number
-
+
1111020000112 = 2411219166918097
BaseRepresentation
bin10000001010101101111…
…100111101001101110000
310221012201220010202222001
4100022231330331031300
5121200332110000422
62210221234223344
7143161053116521
oct20125574751560
93835656122861
101111020000112
113991a990a200
1215b3a6424b54
13809cbbb60b9
143bab8ca2848
151dd78191227
hex102adf3d370

1111020000112 has 120 divisors (see below), whose sum is σ = 2492243003600. Its totient is φ = 478116587520.

The previous prime is 1111020000089. The next prime is 1111020000149. The reversal of 1111020000112 is 2110000201111.

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, 61383448 + ... + 61401544.

Almost surely, 21111020000112 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 1111020000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246121501800).

1111020000112 is an abundant number, since it is smaller than the sum of its proper divisors (1381223003488).

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

1111020000112 is a wasteful number, since it uses less digits than its factorization.

1111020000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19815 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1111020000112 its reverse (2110000201111), we get a palindrome (3221020201223).

The spelling of 1111020000112 in words is "one trillion, one hundred eleven billion, twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1669 1672 1936 2299 3338 3344 4598 6676 9196 13352 18097 18359 18392 26704 31711 36194 36718 36784 63422 72388 73436 126844 144776 146872 199067 201949 253688 289552 293744 343843 348821 398134 403898 507376 687686 697642 796268 807796 1375372 1395284 1592536 1615592 2189737 2750744 2790568 3185072 3231184 3782273 3837031 4379474 5501488 5581136 7564546 7674062 8758948 15129092 15348124 17517896 30203893 30258184 30696248 35035792 41605003 60407786 60516368 61392496 83210006 120815572 166420012 241631144 332242823 332840024 483262288 573873967 664485646 665680048 1147747934 1328971292 2295495868 2657942584 3654671053 4590991736 5315885168 6312613637 7309342106 9181983472 12625227274 14618684212 25250454548 29237368424 50500909096 58474736848 69438750007 101001818192 138877500014 277755000028 555510000056 1111020000112