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132112141400 = 235219137253769
BaseRepresentation
bin111101100001001111…
…1110100110001011000
3110122000010022010221002
41323002133310301120
54131031202011100
6140405205404132
712354601450001
oct1730237646130
9418003263832
10132112141400
1151034950238
1221730109648
13c5c5653b45
146573bd61a8
1536834c82d5
hex1ec27f4c58

132112141400 has 96 divisors (see below), whose sum is σ = 325688418000. Its totient is φ = 49697925120.

The previous prime is 132112141397. The next prime is 132112141417. The reversal of 132112141400 is 4141211231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 393716 + ... + 647484.

Almost surely, 2132112141400 is an apocalyptic number.

132112141400 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 132112141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162844209000).

132112141400 is an abundant number, since it is smaller than the sum of its proper divisors (193576276600).

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

132112141400 is a wasteful number, since it uses less digits than its factorization.

132112141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253941 (or 253932 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 132112141400 its reverse (4141211231), we get a palindrome (136253352631).

The spelling of 132112141400 in words is "one hundred thirty-two billion, one hundred twelve million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 137 152 190 200 274 380 475 548 685 760 950 1096 1370 1900 2603 2740 3425 3800 5206 5480 6850 10412 13015 13700 20824 26030 27400 52060 65075 104120 130150 253769 260300 507538 520600 1015076 1268845 2030152 2537690 4821611 5075380 6344225 9643222 10150760 12688450 19286444 24108055 25376900 34766353 38572888 48216110 50753800 69532706 96432220 120540275 139065412 173831765 192864440 241080550 278130824 347663530 482161100 660560707 695327060 869158825 964322200 1321121414 1390654120 1738317650 2642242828 3302803535 3476635300 5284485656 6605607070 6953270600 13211214140 16514017675 26422428280 33028035350 66056070700 132112141400