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11342103000 = 2335329130369
BaseRepresentation
bin10101001000000101…
…01100000111011000
31002021110011112022220
422210002230013120
5141212034244000
65113244344040
7551032166454
oct124402540730
932243145286
1011342103000
1148a0359948
122246545020
1310b9a77267
147984c3664
15465b181a0
hex2a40ac1d8

11342103000 has 128 divisors (see below), whose sum is σ = 36607896000. Its totient is φ = 2920243200.

The previous prime is 11342102987. The next prime is 11342103023. The reversal of 11342103000 is 30124311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21816 + ... + 152184.

Almost surely, 211342103000 is an apocalyptic number.

11342103000 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 11342103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303948000).

11342103000 is an abundant number, since it is smaller than the sum of its proper divisors (25265793000).

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

11342103000 is a wasteful number, since it uses less digits than its factorization.

11342103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130422 (or 130408 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11342103000 its reverse (30124311), we get a palindrome (11372227311).

The spelling of 11342103000 in words is "eleven billion, three hundred forty-two million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 130369 260738 391107 521476 651845 782214 1042952 1303690 1564428 1955535 2607380 3128856 3259225 3780701 3911070 5214760 6518450 7561402 7822140 9777675 11342103 13036900 15122804 15644280 16296125 18903505 19555350 22684206 26073800 30245608 32592250 37807010 39110700 45368412 48888375 56710515 65184500 75614020 78221400 90736824 94517525 97776750 113421030 130369000 151228040 189035050 195553500 226842060 283552575 378070100 391107000 453684120 472587625 567105150 756140200 945175250 1134210300 1417762875 1890350500 2268420600 2835525750 3780701000 5671051500 11342103000