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102002001220212 = 223172139313676037
BaseRepresentation
bin10111001100010100110001…
…000011001001001001110100
3111101011021222211210220021220
4113030110301003021021310
5101332200044303021322
61000535023352510340
730325254451553502
oct2714246103111164
9441137884726256
10102002001220212
112a556895558365
12b5348079ab3b0
1344bb994190b92
141b28ccd397672
15bbd48d30155c
hex5cc5310c9274

102002001220212 has 144 divisors (see below), whose sum is σ = 255461347606080. Its totient is φ = 31668857745408.

The previous prime is 102002001220211. The next prime is 102002001220271. The reversal of 102002001220212 is 212022100200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002001220191 and 102002001220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002001220211) 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, 150544258 + ... + 151220294.

Almost surely, 2102002001220212 is an apocalyptic number.

102002001220212 is a gapful number since it is divisible by the number (12) 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 102002001220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127730673803040).

102002001220212 is an abundant number, since it is smaller than the sum of its proper divisors (153459346385868).

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

102002001220212 is a wasteful number, since it uses less digits than its factorization.

102002001220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676530 (or 676511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102002001220212 its reverse (212022100200201), we get a palindrome (314024101420413).

The spelling of 102002001220212 in words is "one hundred two trillion, two billion, one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 289 313 417 556 578 626 834 867 939 1156 1252 1668 1734 1878 2363 3468 3756 4726 5321 7089 9452 10642 14178 15963 21284 28356 31926 40171 43507 63852 80342 87014 90457 120513 130521 160684 174028 180914 241026 261042 271371 361828 482052 522084 542742 676037 739619 1085484 1352074 1479238 2028111 2218857 2704148 2958476 4056222 4437714 8112444 8875428 11492629 12573523 22985258 25147046 34477887 37720569 45970516 50294092 68955774 75441138 93969143 137911548 150882276 187938286 195374693 211599581 281907429 375876572 390749386 423199162 563814858 586124079 634798743 781498772 846398324 1127629716 1172248158 1269597486 1597475431 2344496316 2539194972 3194950862 3597192877 4792426293 6389901724 7194385754 9584852586 10791578631 14388771508 19169705172 21583157262 27157082327 29412341759 43166314524 54314164654 58824683518 61152278909 81471246981 88237025277 108628329308 117649367036 122304557818 162942493962 176474050554 183456836727 244609115636 325884987924 352948101108 366913673454 500009809903 733827346908 1000019619806 1500029429709 2000039239612 3000058859418 6000117718836 8500166768351 17000333536702 25500500305053 34000667073404 51001000610106 102002001220212