Search a number
-
+
1010403204140 = 2251183281196919
BaseRepresentation
bin11101011010000001011…
…10010101110000101100
310120121000201212221201002
432231000232111300230
5113023301210013030
62052101155135432
7132666506346161
oct16550056256054
93517021787632
101010403204140
1135a5672a4170
121439a5ba4578
1374385679b35
1436c91d66068
151b439c1c245
hexeb40b95c2c

1010403204140 has 96 divisors (see below), whose sum is σ = 2350979043840. Its totient is φ = 361698982400.

The previous prime is 1010403204127. The next prime is 1010403204179. The reversal of 1010403204140 is 414023040101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5032601 + ... + 5229519.

It is an arithmetic number, because the mean of its divisors is an integer number (24489365040).

Almost surely, 21010403204140 is an apocalyptic number.

1010403204140 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 1010403204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175489521920).

1010403204140 is an abundant number, since it is smaller than the sum of its proper divisors (1340575839700).

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

1010403204140 is a wasteful number, since it uses less digits than its factorization.

1010403204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197303 (or 197301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1010403204140 its reverse (414023040101), we get a palindrome (1424426244241).

The spelling of 1010403204140 in words is "one trillion, ten billion, four hundred three million, two hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 281 332 415 562 830 913 1124 1405 1660 1826 2810 3091 3652 4565 5620 6182 9130 12364 15455 18260 23323 30910 46646 61820 93292 116615 196919 233230 256553 393838 466460 513106 787676 984595 1026212 1282765 1969190 2166109 2565530 3938380 4332218 5131060 8664436 10830545 16344277 21661090 32688554 43322180 55334239 65377108 81721385 110668478 163442770 179787047 221336956 276671195 326885540 359574094 553342390 608676629 719148188 898935235 1106684780 1217353258 1797870470 2434706516 3043383145 3595740940 4592741837 6086766290 9185483674 12173532580 18370967348 22963709185 45927418370 50520160207 91854836740 101040320414 202080640828 252600801035 505201602070 1010403204140