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102055155200 = 295216134943
BaseRepresentation
bin101111100001011110…
…1100001011000000000
3100202102101210001011222
41133002331201120000
53133002104431300
6114514500054212
710242010335425
oct1370275413000
9322371701158
10102055155200
113a310524679
1217942094368
1398155287cb
144d21d95d4c
1529c4894785
hex17c2f61600

102055155200 has 120 divisors (see below), whose sum is σ = 253057562208. Its totient is φ = 40788500480.

The previous prime is 102055155199. The next prime is 102055155239. The reversal of 102055155200 is 2551550201.

It is a self number, because there is not a number n which added to its sum of digits gives 102055155200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20643929 + ... + 20648871.

Almost surely, 2102055155200 is an apocalyptic number.

102055155200 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 102055155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126528781104).

102055155200 is an abundant number, since it is smaller than the sum of its proper divisors (151002407008).

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

102055155200 is an equidigital number, since it uses as much as digits as its factorization.

102055155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The spelling of 102055155200 in words is "one hundred two billion, fifty-five million, one hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 1613 2560 3200 3226 4943 6400 6452 8065 9886 12800 12904 16130 19772 24715 25808 32260 39544 40325 49430 51616 64520 79088 80650 98860 103232 123575 129040 158176 161300 197720 206464 247150 258080 316352 322600 395440 412928 494300 516160 632704 645200 790880 825856 988600 1032320 1265408 1290400 1581760 1977200 2064640 2530816 2580800 3163520 3954400 4129280 5161600 6327040 7908800 7973059 10323200 12654080 15817600 15946118 20646400 31635200 31892236 39865295 63270400 63784472 79730590 127568944 159461180 199326475 255137888 318922360 398652950 510275776 637844720 797305900 1020551552 1275689440 1594611800 2041103104 2551378880 3189223600 4082206208 5102757760 6378447200 10205515520 12756894400 20411031040 25513788800 51027577600 102055155200