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102015503000 = 23531941130957
BaseRepresentation
bin101111100000010011…
…0010000101010011000
3100202022122011111120222
41133000212100222120
53132411432044000
6114510522135212
710241016316355
oct1370046205230
9322278144528
10102015503000
113a2a0101364
1217930951508
13980a254378
144d1a9d362c
1529c1160a85
hex17c0990a98

102015503000 has 128 divisors (see below), whose sum is σ = 257411044800. Its totient is φ = 37715328000.

The previous prime is 102015502993. The next prime is 102015503003. The reversal of 102015503000 is 305510201.

It is a self number, because there is not a number n which added to its sum of digits gives 102015503000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102015503003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713522 + ... + 844478.

Almost surely, 2102015503000 is an apocalyptic number.

102015503000 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 102015503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128705522400).

102015503000 is an abundant number, since it is smaller than the sum of its proper divisors (155395541800).

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

102015503000 is a wasteful number, since it uses less digits than its factorization.

102015503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131038 (or 131024 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The spelling of 102015503000 in words is "one hundred two billion, fifteen million, five hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 125 152 164 190 200 205 250 328 380 410 475 500 760 779 820 950 1000 1025 1558 1640 1900 2050 2375 3116 3800 3895 4100 4750 5125 6232 7790 8200 9500 10250 15580 19000 19475 20500 31160 38950 41000 77900 97375 130957 155800 194750 261914 389500 523828 654785 779000 1047656 1309570 2488183 2619140 3273925 4976366 5238280 5369237 6547850 9952732 10738474 12440915 13095700 16369625 19905464 21476948 24881830 26191400 26846185 32739250 42953896 49763660 53692370 62204575 65478500 99527320 102015503 107384740 124409150 130957000 134230925 204031006 214769480 248818300 268461850 311022875 408062012 497636600 510077515 536923700 622045750 671154625 816124024 1020155030 1073847400 1244091500 1342309250 2040310060 2488183000 2550387575 2684618500 4080620120 5100775150 5369237000 10201550300 12751937875 20403100600 25503875750 51007751500 102015503000