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30202023120 = 24352322724103
BaseRepresentation
bin11100001000001011…
…100100110011010000
32212221211102201222220
4130020023210303100
5443323204214440
621512530101040
72116301650353
oct341013446320
985854381886
1030202023120
1111899288a95
125a2a71a780
132b041aa1c9
1416671d629a
15bbb7328d0
hex7082e4cd0

30202023120 has 160 divisors (see below), whose sum is σ = 98131433472. Its totient is φ = 7669449216.

The previous prime is 30202023109. The next prime is 30202023121. The reversal of 30202023120 is 2132020203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30202023120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30202023121) 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, 1240989 + ... + 1265091.

Almost surely, 230202023120 is an apocalyptic number.

30202023120 is a gapful number since it is divisible by the number (30) 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 30202023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49065716736).

30202023120 is an abundant number, since it is smaller than the sum of its proper divisors (67929410352).

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

30202023120 is a wasteful number, since it uses less digits than its factorization.

30202023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24369 (or 24363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30202023120 its reverse (2132020203), we get a palindrome (32334043323).

The spelling of 30202023120 in words is "thirty billion, two hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 227 230 240 276 345 368 454 460 552 681 690 908 920 1104 1135 1362 1380 1816 1840 2270 2724 2760 3405 3632 4540 5221 5448 5520 6810 9080 10442 10896 13620 15663 18160 20884 24103 26105 27240 31326 41768 48206 52210 54480 62652 72309 78315 83536 96412 104420 120515 125304 144618 156630 192824 208840 241030 250608 289236 313260 361545 385648 417680 482060 554369 578472 626520 723090 964120 1108738 1156944 1253040 1446180 1663107 1928240 2217476 2771845 2892360 3326214 4434952 5471381 5543690 5784720 6652428 8315535 8869904 10942762 11087380 13304856 16414143 16631070 21885524 22174760 26609712 27356905 32828286 33262140 43771048 44349520 54713810 65656572 66524280 82070715 87542096 109427620 125841763 131313144 133048560 164141430 218855240 251683526 262626288 328282860 377525289 437710480 503367052 629208815 656565720 755050578 1006734104 1258417630 1313131440 1510101156 1887626445 2013468208 2516835260 3020202312 3775252890 5033670520 6040404624 7550505780 10067341040 15101011560 30202023120