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102002025150 = 232521493174799
BaseRepresentation
bin101111011111111001…
…0110110001010111110
3100202021200210202110100
41132333302312022332
53132400004301100
6114505321221530
710240463623344
oct1367762661276
9322250722410
10102002025150
113a293536243
12179283318a6
1398075157cc
144d18cc5994
1529bed9c400
hex17bfcb62be

102002025150 has 144 divisors (see below), whose sum is σ = 276812640000. Its totient is φ = 26927143680.

The previous prime is 102002025143. The next prime is 102002025163. The reversal of 102002025150 is 51520200201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21252451 + ... + 21257249.

It is an arithmetic number, because the mean of its divisors is an integer number (1922310000).

Almost surely, 2102002025150 is an apocalyptic number.

102002025150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002025150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138406320000).

102002025150 is an abundant number, since it is smaller than the sum of its proper divisors (174810614850).

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

102002025150 is a wasteful number, since it uses less digits than its factorization.

102002025150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 102002025150 its reverse (51520200201), we get a palindrome (153522225351).

The spelling of 102002025150 in words is "one hundred two billion, two million, twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 317 447 450 634 745 894 951 1341 1490 1585 1902 2235 2682 2853 3170 3725 4470 4755 4799 5706 6705 7450 7925 9510 9598 11175 13410 14265 14397 15850 22350 23775 23995 28530 28794 33525 43191 47233 47550 47990 67050 71325 71985 86382 94466 119975 141699 142650 143970 215955 236165 239950 283398 359925 425097 431910 472330 708495 715051 719850 850194 1079775 1180825 1416990 1430102 1521283 2125485 2145153 2159550 2361650 3042566 3542475 3575255 4250970 4290306 4563849 6435459 7084950 7150510 7606415 9127698 10627425 10725765 12870918 13691547 15212830 17876275 21254850 21451530 22819245 27383094 32177295 35752550 38032075 45638490 53628825 64354590 68457735 76064150 107257650 114096225 136915470 160886475 226671167 228192450 321772950 342288675 453342334 680013501 684577350 1133355835 1360027002 2040040503 2266711670 3400067505 4080081006 5666779175 6800135010 10200202515 11333558350 17000337525 20400405030 34000675050 51001012575 102002025150