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1001220102311 = 111323975738699
BaseRepresentation
bin11101001000111010101…
…11100101100010100111
310112201022202021001012112
432210131113211202213
5112400444321233221
62043542033311235
7132223111310432
oct16443527454247
93481282231175
101001220102311
11356684711910
1214206270551b
1373550caab80
14366604ca819
151b09d92315b
hexe91d5e58a7

1001220102311 has 32 divisors (see below), whose sum is σ = 1182771072000. Its totient is φ = 835542449280.

The previous prime is 1001220102307. The next prime is 1001220102353. The reversal of 1001220102311 is 1132010221001.

It is not a de Polignac number, because 1001220102311 - 22 = 1001220102307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220102391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25852640 + ... + 25891338.

It is an arithmetic number, because the mean of its divisors is an integer number (36961596000).

Almost surely, 21001220102311 is an apocalyptic number.

1001220102311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001220102311 is a deficient number, since it is larger than the sum of its proper divisors (181550969689).

1001220102311 is a wasteful number, since it uses less digits than its factorization.

1001220102311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39719.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001220102311 its reverse (1132010221001), we get a palindrome (2133230323312).

The spelling of 1001220102311 in words is "one trillion, one billion, two hundred twenty million, one hundred two thousand, three hundred eleven".

Divisors: 1 11 13 143 239 757 2629 3107 8327 9841 34177 38699 108251 180923 425689 503087 1990153 2351999 5533957 9249061 25871989 29295143 101739671 120237793 322246573 380836859 1322615723 4189205449 7001539177 77016930947 91020009301 1001220102311