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202001000000100 = 223527193498398717
BaseRepresentation
bin101101111011100000000101…
…110110010110101001100100
3222111020002220000011011210020
4231323200011312112221210
5202434041022000000400
61553341551151555140
760356043042554010
oct5573400566265144
9874202800134706
10202001000000100
1159400163387aa4
121a7a519222bab0
1388937c6a60492
1437c4c87221540
151854799c4d2a0
hexb7b805d96a64

202001000000100 has 144 divisors (see below), whose sum is σ = 671410855371648. Its totient is φ = 45932425666560.

The previous prime is 202001000000029. The next prime is 202001000000101. The reversal of 202001000000100 is 1000000100202.

It is a happy number.

202001000000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (202001000000101) 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, 248794059 + ... + 249604658.

Almost surely, 2202001000000100 is an apocalyptic number.

202001000000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001000000100 is an abundant number, since it is smaller than the sum of its proper divisors (469409855371548).

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

202001000000100 is a wasteful number, since it uses less digits than its factorization.

202001000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498398934 (or 498398927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 202001000000100 its reverse (1000000100202), we get a palindrome (203001000100302).

The spelling of 202001000000100 in words is "two hundred two trillion, one billion, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 193 210 300 350 386 420 525 579 700 772 965 1050 1158 1351 1930 2100 2316 2702 2895 3860 4053 4825 5404 5790 6755 8106 9650 11580 13510 14475 16212 19300 20265 27020 28950 33775 40530 57900 67550 81060 101325 135100 202650 405300 498398717 996797434 1495196151 1993594868 2491993585 2990392302 3488791019 4983987170 5980784604 6977582038 7475980755 9967974340 10466373057 12459967925 13955164076 14951961510 17443955095 20932746114 24919935850 29903923020 34887910190 37379903775 41865492228 49839871700 52331865285 69775820380 74759807550 87219775475 96190952381 104663730570 149519615100 174439550950 192381904762 209327461140 261659326425 288572857143 348879101900 384763809524 480954761905 523318652850 577145714286 673336666667 961909523810 1046637305700 1154291428572 1346673333334 1442864285715 1923819047620 2020010000001 2404773809525 2693346666668 2885728571430 3366683333335 4040020000002 4809547619050 5771457142860 6733366666670 7214321428575 8080040000004 9619095238100 10100050000005 13466733333340 14428642857150 16833416666675 20200100000010 28857285714300 33666833333350 40400200000020 50500250000025 67333666666700 101000500000050 202001000000100