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1003134320430 = 2351137422919427
BaseRepresentation
bin11101001100011110111…
…01101111111100101110
310112220021011012101210220
432212033131233330232
5112413404341223210
62044500013512210
7132321414015324
oct16461735577456
93486234171726
101003134320430
11357477199260
121424b77a2666
137379774c208
14367a2815d14
151b1619ddc70
hexe98f76ff2e

1003134320430 has 128 divisors (see below), whose sum is σ = 2698148206080. Its totient is φ = 236543408640.

The previous prime is 1003134320407. The next prime is 1003134320491. The reversal of 1003134320430 is 340234313001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003134320430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51626377 + ... + 51645803.

It is an arithmetic number, because the mean of its divisors is an integer number (21079282860).

Almost surely, 21003134320430 is an apocalyptic number.

1003134320430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003134320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349074103040).

1003134320430 is an abundant number, since it is smaller than the sum of its proper divisors (1695013885650).

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

1003134320430 is a wasteful number, since it uses less digits than its factorization.

1003134320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23714.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1003134320430 its reverse (340234313001), we get a palindrome (1343368633431).

The spelling of 1003134320430 in words is "one trillion, three billion, one hundred thirty-four million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 4229 6105 8458 12210 12687 19427 21145 25374 38854 42290 46519 58281 63435 93038 97135 116562 126870 139557 156473 194270 213697 232595 279114 291405 312946 427394 465190 469419 582810 641091 697785 718799 782365 938838 1068485 1282182 1395570 1437598 1564730 1721203 2136970 2156397 2347095 3205455 3442406 3593995 4312794 4694190 5163609 6410910 7187990 7906789 8606015 10327218 10781985 15813578 17212030 21563970 23720367 25818045 39533945 47440734 51636090 79067890 82156783 118601835 164313566 237203670 246470349 410783915 492940698 821567830 903724613 1232351745 1807449226 2464703490 2711173839 3039800971 4518623065 5422347678 6079601942 9037246130 9119402913 13555869195 15199004855 18238805826 27111738390 30398009710 33437810681 45597014565 66875621362 91194029130 100313432043 167189053405 200626864086 334378106810 501567160215 1003134320430