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103002202100 = 22527376759357
BaseRepresentation
bin101111111101101101…
…0001101111111110100
3100211212101211000022002
41133323122031333310
53141422030431400
6115152450354432
710304330162210
oct1377332157764
9324771730262
10103002202100
113a75706aa66
1217b6728ba18
1399367b53a5
144db1a7b940
152a2cab5ed5
hex17fb68dff4

103002202100 has 144 divisors (see below), whose sum is σ = 266269540992. Its totient is φ = 33847165440.

The previous prime is 103002202087. The next prime is 103002202129. The reversal of 103002202100 is 1202200301.

It is a happy number.

It is a super-3 number, since 3×1030022021003 (a number of 34 digits) contains 333 as substring.

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, 1705622 + ... + 1764978.

Almost surely, 2103002202100 is an apocalyptic number.

103002202100 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 103002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133134770496).

103002202100 is an abundant number, since it is smaller than the sum of its proper divisors (163267338892).

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

103002202100 is a wasteful number, since it uses less digits than its factorization.

103002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59482 (or 59475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 103002202100 its reverse (1202200301), we get a palindrome (104204402401).

The spelling of 103002202100 in words is "one hundred three billion, two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 67 70 74 100 134 140 148 175 185 259 268 335 350 370 469 518 670 700 740 925 938 1036 1295 1340 1675 1850 1876 2345 2479 2590 3350 3700 4690 4958 5180 6475 6700 9380 9916 11725 12395 12950 17353 23450 24790 25900 34706 46900 49580 59357 61975 69412 86765 118714 123950 173530 237428 247900 296785 347060 415499 433825 593570 830998 867650 1187140 1483925 1661996 1735300 2077495 2196209 2967850 3976919 4154990 4392418 5935700 7953838 8309980 8784836 10387475 10981045 15373463 15907676 19884595 20774950 21962090 27838433 30746926 39769190 41549900 43924180 54905225 55676866 61493852 76867315 79538380 99422975 109810450 111353732 139192165 147146003 153734630 198845950 219620900 278384330 294292006 307469260 384336575 397691900 556768660 588584012 695960825 735730015 768673150 1030022021 1391921650 1471460030 1537346300 2060044042 2783843300 2942920060 3678650075 4120088084 5150110105 7357300150 10300220210 14714600300 20600440420 25750550525 51501101050 103002202100