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1010001011110 = 2571335911232753
BaseRepresentation
bin11101011001010001100…
…00000110000110100110
310120112222201002102120221
432230220300012012212
5113021440224323420
62051553230514554
7132653523641560
oct16545060060646
93515881072527
101010001011110
1135a380270633
121438b3365a5a
137432024b2b0
1436c54790330
151b414773caa
hexeb28c061a6

1010001011110 has 128 divisors (see below), whose sum is σ = 2246587176960. Its totient is φ = 318358757376.

The previous prime is 1010001011093. The next prime is 1010001011113. The reversal of 1010001011110 is 111101000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1010001011093 and 1010001011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366871494 + ... + 366874246.

It is an arithmetic number, because the mean of its divisors is an integer number (17551462320).

Almost surely, 21010001011110 is an apocalyptic number.

1010001011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010001011110 is an abundant number, since it is smaller than the sum of its proper divisors (1236586165850).

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

1010001011110 is a wasteful number, since it uses less digits than its factorization.

1010001011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010001011110 its reverse (111101000101), we get a palindrome (1121102011211).

The spelling of 1010001011110 in words is "one trillion, ten billion, one million, eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 359 455 718 910 1123 1795 2246 2513 2753 3590 4667 5026 5506 5615 7861 9334 11230 12565 13765 14599 15722 19271 23335 25130 27530 29198 32669 35789 38542 39305 46670 65338 71578 72995 78610 96355 102193 145990 163345 178945 192710 204386 250523 326690 357890 403157 501046 510965 806314 988327 1021930 1252615 1976654 2015785 2505230 2822099 3091619 4031570 4941635 5241041 5644198 6183238 6918289 9883270 10482082 12848251 13836578 14110495 15458095 21641333 25696502 26205205 28220990 30916190 34591445 36687287 40191047 43282666 52410410 64241255 69182890 73374574 80382094 89937757 108206665 128482510 179875514 183436435 200955235 216413330 281337329 366872870 401910470 449688785 562674658 899377570 1109891221 1406686645 2219782442 2813373290 5549456105 7769238547 11098912210 14428585873 15538477094 28857171746 38846192735 72142929365 77692385470 101000101111 144285858730 202000202222 505000505555 1010001011110