Search a number
-
+
100203332001310 = 252910722361323623
BaseRepresentation
bin10110110010001001101000…
…000000100101111000011110
3111010210100022111100102022001
4112302021220000211320132
5101113212410443020220
6553040435241112514
730051310656503626
oct2662115000457036
9433710274312261
10100203332001310
1129a22aa368a26a
12b2a40b118873a
1343bb197870315
141aa5c1d63d886
15b8b7ba51880a
hex5b2268025e1e

100203332001310 has 128 divisors (see below), whose sum is σ = 189490455060480. Its totient is φ = 38101752331776.

The previous prime is 100203332001307. The next prime is 100203332001313. The reversal of 100203332001310 is 13100233302001.

It is an interprime number because it is at equal distance from previous prime (100203332001307) and next prime (100203332001313).

It is a super-3 number, since 3×1002033320013103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203332001313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4241758159 + ... + 4241781781.

It is an arithmetic number, because the mean of its divisors is an integer number (1480394180160).

Almost surely, 2100203332001310 is an apocalyptic number.

100203332001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100203332001310 is a deficient number, since it is larger than the sum of its proper divisors (89287123059170).

100203332001310 is a wasteful number, since it uses less digits than its factorization.

100203332001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24602.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100203332001310 its reverse (13100233302001), we get a palindrome (113303565303311).

The spelling of 100203332001310 in words is "one hundred trillion, two hundred three billion, three hundred thirty-two million, one thousand, three hundred ten".

Divisors: 1 2 5 10 29 58 107 145 214 223 290 446 535 613 1070 1115 1226 2230 3065 3103 6130 6206 6467 12934 15515 17777 23623 23861 31030 32335 35554 47246 47722 64670 65591 88885 118115 119305 131182 136699 177770 236230 238610 273398 327955 655910 683495 685067 691969 1366990 1370134 1383938 1902139 2527661 3425335 3459845 3804278 3964271 5055322 5267929 6850670 6919690 7928542 9510695 10535858 12638305 14480899 14626793 19021390 19821355 25276610 26339645 28961798 29253586 39642710 52679290 72404495 73133965 73302169 144808990 146267930 146604338 152769941 305539882 366510845 419946071 424176997 563668403 733021690 763849705 839892142 848353994 1127336806 1527699410 1549456193 2099730355 2120884985 2818342015 3098912386 3229240477 4199460710 4241769970 5636684030 6458480954 7747280965 15494561930 16146202385 16346383687 32292404770 32692767374 44934229597 81731918435 89868459194 93647973833 163463836870 187295947666 224671147985 345528731039 449342295970 468239869165 691057462078 936479738330 1727643655195 3455287310390 10020333200131 20040666400262 50101666000655 100203332001310