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11241253511400 = 23352111703220229
BaseRepresentation
bin1010001110010100111011…
…1011000010000011101000
31110210122122021200212200110
42203211032323002003220
52433134041344331100
635524054403334320
72240103512200323
oct243451673020350
943718567625613
1011241253511400
113644430603890
1213167690813a0
136370794046b3
142ac1184c37ba
151476266c1250
hexa394eec20e8

11241253511400 has 96 divisors (see below), whose sum is σ = 38015875533600. Its totient is φ = 2725152364800.

The previous prime is 11241253511399. The next prime is 11241253511539. The reversal of 11241253511400 is 411535214211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851603515 + ... + 851616714.

It is an arithmetic number, because the mean of its divisors is an integer number (395998703475).

Almost surely, 211241253511400 is an apocalyptic number.

11241253511400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241253511400 is an abundant number, since it is smaller than the sum of its proper divisors (26774622022200).

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

11241253511400 is a wasteful number, since it uses less digits than its factorization.

11241253511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703220259 (or 1703220250 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 11241253511400 its reverse (411535214211), we get a palindrome (11652788725611).

The spelling of 11241253511400 in words is "eleven trillion, two hundred forty-one billion, two hundred fifty-three million, five hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1703220229 3406440458 5109660687 6812880916 8516101145 10219321374 13625761832 17032202290 18735422519 20438642748 25548303435 34064404580 37470845038 40877285496 42580505725 51096606870 56206267557 68128809160 74941690076 85161011450 93677112595 102193213740 112412535114 127741517175 149883380152 170322022900 187354225190 204386427480 224825070228 255483034350 281031337785 340644045800 374708450380 449650140456 468385562975 510966068700 562062675570 749416900760 936771125950 1021932137400 1124125351140 1405156688925 1873542251900 2248250702280 2810313377850 3747084503800 5620626755700 11241253511400