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102213202180 = 225191632576421
BaseRepresentation
bin101111100110001100…
…0011011000100000100
3100202211102011122212211
41133030120123010010
53133313034432210
6114542303353204
710245636611665
oct1371430330404
9322742148784
10102213202180
113a391762711
1217986bb2804
13983c1b432b
144d38d7736c
1529d36b338a
hex17cc61b104

102213202180 has 96 divisors (see below), whose sum is σ = 228251237760. Its totient is φ = 38340034560.

The previous prime is 102213202121. The next prime is 102213202181. The reversal of 102213202180 is 81202312201.

It is not an unprimeable number, because it can be changed into a prime (102213202181) 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, 15915370 + ... + 15921790.

It is an arithmetic number, because the mean of its divisors is an integer number (2377617060).

Almost surely, 2102213202180 is an apocalyptic number.

102213202180 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 102213202180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114125618880).

102213202180 is an abundant number, since it is smaller than the sum of its proper divisors (126038035580).

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

102213202180 is a wasteful number, since it uses less digits than its factorization.

102213202180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102213202180 its reverse (81202312201), we get a palindrome (183415514381).

The spelling of 102213202180 in words is "one hundred two billion, two hundred thirteen million, two hundred two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 163 190 257 326 380 514 652 815 1028 1285 1630 2570 3097 3260 4883 5140 6194 6421 9766 12388 12842 15485 19532 24415 25684 30970 32105 41891 48830 61940 64210 83782 97660 121999 128420 167564 209455 243998 418910 487996 609995 795929 837820 1046623 1219990 1591858 1650197 2093246 2439980 3183716 3300394 3979645 4186492 5233115 6600788 7959290 8250985 10466230 15918580 16501970 19885837 20932460 31353743 33003940 39771674 62707486 79543348 99429185 125414972 156768715 198858370 268982111 313537430 397716740 537964222 627074860 1075928444 1344910555 2689821110 5110660109 5379642220 10221320218 20442640436 25553300545 51106601090 102213202180