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41012013300 = 22352419509641
BaseRepresentation
bin100110001100100000…
…011010100011110100
310220212012100010202120
4212030200122203310
51132443033411200
630501325435540
72651213234616
oct461440324364
9126765303676
1041012013300
1116436237675
127b46a0bbb0
133b379377bb
141db0b64db6
15110078c9a0
hex98c81a8f4

41012013300 has 144 divisors (see below), whose sum is σ = 119364235200. Its totient is φ = 10872012800.

The previous prime is 41012013277. The next prime is 41012013349. The reversal of 41012013300 is 331021014.

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 41012013300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63980980 + ... + 63981620.

It is an arithmetic number, because the mean of its divisors is an integer number (828918300).

Almost surely, 241012013300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41012013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59682117600).

41012013300 is an abundant number, since it is smaller than the sum of its proper divisors (78352221900).

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

41012013300 is a wasteful number, since it uses less digits than its factorization.

41012013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 41012013300 its reverse (331021014), we get a palindrome (41343034314).

The spelling of 41012013300 in words is "forty-one billion, twelve million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 509 641 838 1018 1257 1282 1527 1676 1923 2036 2095 2514 2545 2564 3054 3205 3846 4190 5028 5090 6108 6285 6410 7635 7692 8380 9615 10180 10475 12570 12725 12820 15270 16025 19230 20950 25140 25450 30540 31425 32050 38175 38460 41900 48075 50900 62850 64100 76350 96150 125700 152700 192300 213271 268579 326269 426542 537158 639813 652538 805737 853084 978807 1066355 1074316 1279626 1305076 1342895 1611474 1631345 1957614 2132710 2559252 2685790 3199065 3222948 3262690 3915228 4028685 4265420 4894035 5331775 5371580 6398130 6525380 6714475 8057370 8156725 9788070 10663550 12796260 13428950 15995325 16114740 16313450 19576140 20143425 21327100 24470175 26857900 31990650 32626900 40286850 48940350 63981300 80573700 97880700 136706711 273413422 410120133 546826844 683533555 820240266 1367067110 1640480532 2050600665 2734134220 3417667775 4101201330 6835335550 8202402660 10253003325 13670671100 20506006650 41012013300