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101453351344400 = 245211120119198651
BaseRepresentation
bin10111000100010101110010…
…111101111101100100010000
3111022012211211111021102122002
4113010111302331331210100
5101244202430421010100
6555435005353533132
730240522423554366
oct2704256275754420
9438184744242562
10101453351344400
112a365140a50130
12b46640a1141a8
13447c018c0b153
141b0a522c91636
15bae07b61a2d5
hex5c4572f7d910

101453351344400 has 120 divisors (see below), whose sum is σ = 266121423546528. Its totient is φ = 36861408000000.

The previous prime is 101453351344399. The next prime is 101453351344439. The reversal of 101453351344400 is 4443153354101.

It is a super-2 number, since 2×1014533513444002 (a number of 29 digits) contains 22 as substring.

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, 4314926 + ... + 14883725.

Almost surely, 2101453351344400 is an apocalyptic number.

101453351344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101453351344400 is an abundant number, since it is smaller than the sum of its proper divisors (164668072202128).

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

101453351344400 is a wasteful number, since it uses less digits than its factorization.

101453351344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19199881 (or 19199870 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 101453351344400 in words is "one hundred one trillion, four hundred fifty-three billion, three hundred fifty-one million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1201 2200 2402 4400 4804 6005 9608 12010 13211 19216 24020 26422 30025 48040 52844 60050 66055 96080 105688 120100 132110 211376 240200 264220 330275 480400 528440 660550 1056880 1321100 2642200 5284400 19198651 38397302 76794604 95993255 153589208 191986510 211185161 307178416 383973020 422370322 479966275 767946040 844740644 959932550 1055925805 1535892080 1689481288 1919865100 2111851610 3378962576 3839730200 4223703220 5279629025 7679460400 8447406440 10559258050 16894812880 21118516100 23057579851 42237032200 46115159702 84474064400 92230319404 115287899255 184460638808 230575798510 253633378361 368921277616 461151597020 507266756722 576439496275 922303194040 1014533513444 1152878992550 1268166891805 1844606388080 2029067026888 2305757985100 2536333783610 4058134053776 4611515970200 5072667567220 6340834459025 9223031940400 10145335134440 12681668918050 20290670268880 25363337836100 50726675672200 101453351344400