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41012213011100 = 225217191891767121
BaseRepresentation
bin10010101001100111001100…
…11000110101001010011100
312101012201200122021200102222
421110303212120311022130
520333421003012323400
6223120430042004512
711432014604504102
oct1124634630651234
9171181618250388
1041012213011100
1112082200070a71
1247245371a6738
1319b6586b89396
14a1b00494bc72
154b1c4d77d185
hex254ce663529c

41012213011100 has 144 divisors (see below), whose sum is σ = 99197869367520. Its totient is φ = 14626274918400.

The previous prime is 41012213011039. The next prime is 41012213011103. The reversal of 41012213011100 is 111031221014.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41012213011103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610985540 + ... + 611052660.

It is an arithmetic number, because the mean of its divisors is an integer number (688874092830).

Almost surely, 241012213011100 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 41012213011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49598934683760).

41012213011100 is an abundant number, since it is smaller than the sum of its proper divisors (58185656356420).

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

41012213011100 is a wasteful number, since it uses less digits than its factorization.

41012213011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86088 (or 86081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 41012213011100 its reverse (111031221014), we get a palindrome (41123244232114).

The spelling of 41012213011100 in words is "forty-one trillion, twelve billion, two hundred thirteen million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 18917 32300 37834 67121 75668 94585 134242 189170 268484 321589 335605 359423 378340 472925 643178 671210 718846 945850 1141057 1275299 1286356 1342420 1437692 1607945 1678025 1797115 1891700 2282114 2550598 3215890 3356050 3594230 4564228 5101196 5705285 6110191 6376495 6431780 6712100 7188460 8039725 8985575 11410570 12220382 12752990 16079450 17971150 21680083 22821140 24440764 25505980 28526425 30550955 31882475 32158900 35942300 43360166 57052850 61101910 63764950 86720332 108400415 114105700 122203820 127529900 152754775 216800830 305509550 433601660 542002075 611019100 1084004150 1269727957 2168008300 2539455914 5078911828 6348639785 12697279570 21585375269 24124831183 25394559140 31743198925 43170750538 48249662366 63486397850 86341501076 96499324732 107926876345 120624155915 126972795700 215853752690 241248311830 410122130111 431707505380 482496623660 539634381725 603120779575 820244260222 1079268763450 1206241559150 1640488520444 2050610650555 2158537526900 2412483118300 4101221301110 8202442602220 10253053252775 20506106505550 41012213011100