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100134021040404 = 223137918077449473
BaseRepresentation
bin10110110001001001000100…
…110000010000100100010100
3111010112201102002112210100220
4112301021010300100210110
5101111043433341243104
6552544533442434340
730043305250164411
oct2661110460204424
9433481362483326
10100134021040404
11299a666643049a
12b2927890629b0
1343b47a00c8010
141aa272634b108
15b89ab06627d9
hex5b1244c10914

100134021040404 has 96 divisors (see below), whose sum is σ = 254818532881920. Its totient is φ = 30418711584768.

The previous prime is 100134021040343. The next prime is 100134021040409. The reversal of 100134021040404 is 404040120431001.

It is a super-3 number, since 3×1001340210404043 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134021040409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222556212 + ... + 223005684.

It is an arithmetic number, because the mean of its divisors is an integer number (2654359717520).

Almost surely, 2100134021040404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100134021040404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127409266440960).

100134021040404 is an abundant number, since it is smaller than the sum of its proper divisors (154684511841516).

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

100134021040404 is a wasteful number, since it uses less digits than its factorization.

100134021040404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467649 (or 467647 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100134021040404 its reverse (404040120431001), we get a palindrome (504174141471405).

The spelling of 100134021040404 in words is "one hundred trillion, one hundred thirty-four billion, twenty-one million, forty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 474 948 1027 2054 3081 4108 6162 12324 18077 36154 54231 72308 108462 216924 235001 449473 470002 705003 898946 940004 1348419 1410006 1428083 1797892 2696838 2820012 2856166 4284249 5393676 5712332 5843149 8568498 11686298 17136996 17529447 18565079 23372596 35058894 35508367 37130158 55695237 70117788 71016734 74260316 106525101 111390474 142033468 213050202 222780948 426100404 461608771 923217542 1384826313 1846435084 2769652626 5539305252 8125123421 16250246842 24375370263 32500493684 48750740526 97501481052 105626604473 211253208946 316879813419 422506417892 633759626838 641884750259 1267519253676 1283769500518 1925654250777 2567539001036 3851308501554 7702617003108 8344501753367 16689003506734 25033505260101 33378007013468 50067010520202 100134021040404