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52123115000 = 2354115317881
BaseRepresentation
bin110000100010110001…
…111001110111111000
311222112112211120212202
4300202301321313320
51323222004140000
635540043125332
73523442111255
oct604261716770
9158475746782
1052123115000
1120118159850
12a127b13848
134bb8891aa8
1427466b642c
151550e75dd5
hexc22c79df8

52123115000 has 160 divisors (see below), whose sum is σ = 135747984240. Its totient is φ = 18595200000.

The previous prime is 52123114963. The next prime is 52123115003. The reversal of 52123115000 is 51132125.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52123115003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2906060 + ... + 2923940.

Almost surely, 252123115000 is an apocalyptic number.

52123115000 is a gapful number since it is divisible by the number (50) 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 52123115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67873992120).

52123115000 is an abundant number, since it is smaller than the sum of its proper divisors (83624869240).

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

52123115000 is a wasteful number, since it uses less digits than its factorization.

52123115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17971 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 52123115000 its reverse (51132125), we get a palindrome (52174247125).

The spelling of 52123115000 in words is "fifty-two billion, one hundred twenty-three million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 625 1000 1060 1100 1166 1250 1325 1375 2120 2200 2332 2500 2650 2750 2915 4664 5000 5300 5500 5830 6625 6875 10600 11000 11660 13250 13750 14575 17881 23320 26500 27500 29150 33125 35762 53000 55000 58300 66250 71524 72875 89405 116600 132500 143048 145750 178810 196691 265000 291500 357620 364375 393382 447025 583000 715240 728750 786764 894050 947693 983455 1457500 1573528 1788100 1895386 1966910 2235125 2915000 3576200 3790772 3933820 4470250 4738465 4917275 7581544 7867640 8940500 9476930 9834550 10424623 11175625 17881000 18953860 19669100 20849246 22351250 23692325 24586375 37907720 39338200 41698492 44702500 47384650 49172750 52123115 83396984 89405000 94769300 98345500 104246230 118461625 122931875 189538600 196691000 208492460 236923250 245863750 260615575 416984920 473846500 491727500 521231150 592308125 947693000 983455000 1042462300 1184616250 1303077875 2084924600 2369232500 2606155750 4738465000 5212311500 6515389375 10424623000 13030778750 26061557500 52123115000