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1021314405100 = 225211612249521
BaseRepresentation
bin11101101110010110001…
…01010001001011101100
310121122012011020101120011
432313023011101023230
5113213122441430400
62101104012103004
7133534060130533
oct16671305211354
93548164211504
101021314405100
113641563a0a20
12145b30164a64
1375404083072
143760911d31a
151b877aba8ba
hexedcb1512ec

1021314405100 has 108 divisors (see below), whose sum is σ = 2458024254504. Its totient is φ = 365297280000.

The previous prime is 1021314405047. The next prime is 1021314405127. The reversal of 1021314405100 is 15044131201.

It is a super-2 number, since 2×10213144051002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3968340 + ... + 4217860.

It is an arithmetic number, because the mean of its divisors is an integer number (22759483838).

Almost surely, 21021314405100 is an apocalyptic number.

1021314405100 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 1021314405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229012127252).

1021314405100 is an abundant number, since it is smaller than the sum of its proper divisors (1436709849404).

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

1021314405100 is a wasteful number, since it uses less digits than its factorization.

1021314405100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249668 (or 249600 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1021314405100 its reverse (15044131201), we get a palindrome (1036358536301).

The spelling of 1021314405100 in words is "one trillion, twenty-one billion, three hundred fourteen million, four hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 3721 6100 6710 7442 13420 14884 16775 18605 33550 37210 40931 67100 74420 81862 93025 163724 186050 204655 249521 372100 409310 499042 818620 998084 1023275 1247605 2046550 2495210 2744731 4093100 4990420 5489462 6238025 10978924 12476050 13723655 15220781 24952100 27447310 30441562 54894620 60883124 68618275 76103905 137236550 152207810 167428591 274473100 304415620 334857182 380519525 669714364 761039050 837142955 928467641 1522078100 1674285910 1856935282 3348571820 3713870564 4185714775 4642338205 8371429550 9284676410 10213144051 16742859100 18569352820 20426288102 23211691025 40852576204 46423382050 51065720255 92846764100 102131440510 204262881020 255328601275 510657202550 1021314405100