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1124100225100 = 225243675037757
BaseRepresentation
bin10000010110111001100…
…110000011100001001100
310222110111110220001102101
4100112321212003201030
5121404124124200400
62220223213004444
7144133152155326
oct20267146034114
93873443801371
101124100225100
113a38012a98a6
12161a36a83724
1382004a966b8
143c59a152616
151e39168d56a
hex105b998384c

1124100225100 has 144 divisors (see below), whose sum is σ = 2538643016448. Its totient is φ = 431712610560.

The previous prime is 1124100225097. The next prime is 1124100225103. The reversal of 1124100225100 is 15220014211.

It is an interprime number because it is at equal distance from previous prime (1124100225097) and next prime (1124100225103).

It is not an unprimeable number, because it can be changed into a prime (1124100225103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144910422 + ... + 144918178.

It is an arithmetic number, because the mean of its divisors is an integer number (17629465392).

Almost surely, 21124100225100 is an apocalyptic number.

1124100225100 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 1124100225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269321508224).

1124100225100 is an abundant number, since it is smaller than the sum of its proper divisors (1414542791348).

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

1124100225100 is a wasteful number, since it uses less digits than its factorization.

1124100225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 1124100225100 its reverse (15220014211), we get a palindrome (1139320239311).

The spelling of 1124100225100 in words is "one trillion, one hundred twenty-four billion, one hundred million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 67 86 100 134 172 215 268 335 430 503 670 860 1006 1075 1340 1675 2012 2150 2515 2881 3350 4300 5030 5762 6700 7757 10060 11524 12575 14405 15514 21629 25150 28810 31028 33701 38785 43258 50300 57620 67402 72025 77570 86516 108145 134804 144050 155140 168505 193925 216290 288100 333551 337010 387850 432580 519719 540725 667102 674020 775700 842525 1039438 1081450 1334204 1449143 1667755 1685050 2078876 2162900 2598595 2898286 3335510 3370100 3901771 5197190 5796572 6671020 7245715 7803542 8338775 10394380 12992975 14491430 15607084 16677550 19508855 22347917 25985950 28982860 33355100 36228575 39017710 44695834 51971900 72457150 78035420 89391668 97544275 111739585 144914300 167776153 195088550 223479170 261418657 335552306 390177100 446958340 522837314 558697925 671104612 838880765 1045674628 1117395850 1307093285 1677761530 2234791700 2614186570 3355523060 4194403825 5228373140 6535466425 8388807650 11241002251 13070932850 16777615300 22482004502 26141865700 44964009004 56205011255 112410022510 224820045020 281025056275 562050112550 1124100225100