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1013122264340 = 225377927163949
BaseRepresentation
bin11101011111000101100…
…10101110110100010100
310120212001020021112002102
432233202302232310110
5113044333244424330
62053231050101232
7133124054105324
oct16574262566424
93525036245072
101013122264340
1136073211935a
1214442471a818
13746c9aa7cb4
143706d11b284
151b5487b9945
hexebe2caed14

1013122264340 has 96 divisors (see below), whose sum is σ = 2220916992000. Its totient is φ = 387862525440.

The previous prime is 1013122264337. The next prime is 1013122264393. The reversal of 1013122264340 is 434622213101.

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, 15810686 + ... + 15874634.

It is an arithmetic number, because the mean of its divisors is an integer number (23134552000).

Almost surely, 21013122264340 is an apocalyptic number.

1013122264340 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 1013122264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110458496000).

1013122264340 is an abundant number, since it is smaller than the sum of its proper divisors (1207794727660).

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

1013122264340 is a wasteful number, since it uses less digits than its factorization.

1013122264340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64345 (or 64343 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 1013122264340 its reverse (434622213101), we get a palindrome (1447744477441).

The spelling of 1013122264340 in words is "one trillion, thirteen billion, one hundred twenty-two million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 271 316 370 395 542 740 790 1084 1355 1580 2710 2923 5420 5846 10027 11692 14615 20054 21409 29230 40108 42818 50135 58460 63949 85636 100270 107045 127898 200540 214090 255796 319745 428180 639490 792133 1278980 1584266 2366113 3168532 3960665 4732226 5051971 7921330 9464452 10103942 11830565 15842660 17330179 20207884 23661130 25259855 34660358 47322260 50519710 69320716 86650895 101039420 173301790 186922927 346603580 373845854 641216623 747691708 934614635 1282433246 1369084141 1869229270 2564866492 2738168282 3206083115 3738458540 5476336564 6412166230 6845420705 12824332460 13690841410 27381682820 50656113217 101312226434 202624452868 253280566085 506561132170 1013122264340