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101004134452 = 2213291571812357
BaseRepresentation
bin101111000010001010…
…0001100100000110100
3100122201011002122202121
41132010110030200310
53123324024300302
6114222313045324
710203655656124
oct1360424144064
9318634078677
10101004134452
1139921223191
12176aa0b6844
1396a8866740
144c62566c84
152962485e37
hex178450c834

101004134452 has 96 divisors (see below), whose sum is σ = 199351545120. Its totient is φ = 44457154560.

The previous prime is 101004134431. The next prime is 101004134459. The reversal of 101004134452 is 254431400101.

It can be written as a sum of positive squares in 16 ways, for example, as 87400644496 + 13603489956 = 295636^2 + 116634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004134459) 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, 42851658 + ... + 42854014.

It is an arithmetic number, because the mean of its divisors is an integer number (2076578595).

Almost surely, 2101004134452 is an apocalyptic number.

It is an amenable number.

101004134452 is a deficient number, since it is larger than the sum of its proper divisors (98347410668).

101004134452 is a wasteful number, since it uses less digits than its factorization.

101004134452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 101004134452 its reverse (254431400101), we get a palindrome (355435534553).

The spelling of 101004134452 in words is "one hundred one billion, four million, one hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 13 26 29 52 58 116 157 181 314 362 377 628 724 754 1508 2041 2353 2357 4082 4553 4706 4714 5249 8164 9106 9412 9428 10498 18212 20996 28417 30641 56834 59189 61282 68237 68353 113668 118378 122564 136474 136706 236756 272948 273412 369421 370049 426617 738842 740098 824093 853234 888589 1477684 1480196 1648186 1706468 1777178 3296372 3554356 4810637 5546021 9621274 10713209 10731421 11092042 12371893 19242548 21426418 21462842 22184084 24743786 42852836 42925684 49487572 66978869 133957738 139508473 160834609 267915476 279016946 321669218 558033892 643338436 870725297 1741450594 1942387201 3482901188 3884774402 7769548804 25251033613 50502067226 101004134452