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102141133133200 = 2452745289805471
BaseRepresentation
bin10111001110010110010101…
…111101010001010110010000
3111101122121010012001101112021
4113032112111331101112100
5101341440020040230300
61001122553324341224
730341311332401050
oct2716262575212620
9441577105041467
10102141133133200
112a5aa8a1926917
12b5577769a4814
1344cbb37c51105
141b3192b5b5560
15bc1dd2bebd1a
hex5ce595f51590

102141133133200 has 120 divisors (see below), whose sum is σ = 280456909053440. Its totient is φ = 35019000345600.

The previous prime is 102141133133189. The next prime is 102141133133239. The reversal of 102141133133200 is 2331331141201.

It is a super-2 number, since 2×1021411331332002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 126406465 + ... + 127211935.

Almost surely, 2102141133133200 is an apocalyptic number.

102141133133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102141133133200 is an abundant number, since it is smaller than the sum of its proper divisors (178315775920240).

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

102141133133200 is a wasteful number, since it uses less digits than its factorization.

102141133133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850785 (or 850774 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102141133133200 its reverse (2331331141201), we get a palindrome (104472464274401).

The spelling of 102141133133200 in words is "one hundred two trillion, one hundred forty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 45289 90578 181156 226445 317023 362312 452890 634046 724624 805471 905780 1132225 1268092 1585115 1610942 1811560 2264450 2536184 3170230 3221884 3623120 4027355 4528900 5072368 5638297 6340460 6443768 7925575 8054710 9057800 11276594 12680920 12887536 15851150 16109420 18115600 20136775 22553188 25361840 28191485 31702300 32218840 40273550 45106376 56382970 63404600 64437680 80547100 90212752 112765940 126809200 140957425 161094200 225531880 281914850 322188400 451063760 563829700 1127659400 2255318800 36478976119 72957952238 145915904476 182394880595 255352832833 291831808952 364789761190 510705665666 583663617904 729579522380 911974402975 1021411331332 1276764164165 1459159044760 1823948805950 2042822662664 2553528328330 2918318089520 3647897611900 4085645325328 5107056656660 6383820820825 7295795223800 10214113313320 12767641641650 14591590447600 20428226626640 25535283283300 51070566566600 102141133133200